The disappearance of a well-liked college student from America's heartland had touched many people since she vanished one month ago while out for a run. But the news that a Mexican man living in the United States illegally has allegedly confessed to kidnapping and murdering her thrust the case into the middle of the contentious immigration debate and midterm elections.

President Trump seized on the man's arrest in the death of Mollie Tibbetts on Tuesday to call the nation's immigration laws "a disgrace" that will only be fixed by electing more Republicans. Iowa's Republican governor, facing a tough reelection challenge in November, blasted an immigration system that "allowed a predator like this to live in our community." And Iowa's two GOP US senators called the death a tragedy that "could have been prevented."

Cristhian Bahena Rivera was arrested and charged with first-degree murder in the death of Ms. Tibbetts, whose July 18 disappearance set off a massive search involving state and federal authorities.

Mr. Rivera led investigators early Tuesday to a body believed to be Tibbetts in a cornfield about 12 miles southeast of Brooklyn, Iowa, where Tibbetts was last seen going for a routine evening run, Iowa Division of Criminal Investigation special agent Rick Rahn said.

"I can't speak about the motive. I can just tell you that it seemed that he followed her, seemed to be drawn to her on that particular day, for whatever reason he chose to abduct her," Mr. Rahn told reporters at a news conference outside the sheriff's office in Montezuma, Iowa, where Rivera was jailed on $1 million cash-only bond.

Within hours, Mr. Trump noted the arrest at a rally in West Virginia on a day when his former personal lawyer and ex-campaign chairman both faced major legal problems.

"You heard about today with the illegal alien coming in, very sadly, from Mexico and you saw what happened to that incredible, beautiful young woman," Trump told the crowd in Charleston, W. Va. "Should've never happened. Illegally in our country. We've had a huge impact, but the laws are so bad. The immigration laws are such a disgrace, we're getting them changed, but we have to get more Republicans. We have to get 'em."

Iowa Gov. Kim Reynolds (R) said residents were heartbroken and angry. US Sens. Chuck Grassley (R) and Joni Ernst (R) of Iowa vowed: "We cannot allow these tragedies to continue."

Trump has made further crackdown on illegal immigration a core policy of his administration. He often has claimed widespread crime by people living in the country illegally, citing among other things the indictments of 11 suspected MS-13 gang members from El Salvador charged in connection with the slayings of two Virginia teens. Trump also has held events at the White House with members of "angel families," whose relatives were killed by immigrants.

Although Trump claims legal US residents are less likely to commit crime, several studies from social scientists and the libertarian think tank Cato Institute find that isn't accurate and that states with a higher share of people living in the country illegally have lower violent crime rates.

US Immigration and Customs Enforcement said it lodged a federal immigration detainer for Rivera after he was arrested on the murder charge. That move means the agency has probable cause to believe he is subject to deportation.

Investigators said they believed Rivera had lived in the area from four to seven years.

In a statement late Tuesday, Yarrabee Farms said Rivera had worked at its farms for the last four years and was an employee in good standing. The Brooklyn-based company said it was shocked to hear that Rivera was charged in Tibbetts' death. Yarrabee Farms is owned by the family of Craig Lang, a prominent Republican who previously served as president of the Iowa Farm Bureau.

A search of Iowa court records revealed no prior criminal history, and it's unclear whether he had ever been subject to prior deportation proceedings.

Rivera's Facebook page described him as being from Guayabillo, a community of less than 500 people in the Mexican state of Guerrero. It's about a three-hour drive from the resort city of Acapulco.

Investigators said they zeroed in on Rivera after obtaining footage from surveillance cameras in Brooklyn. The footage showed a Chevy Malibu connected to Rivera that was driving back and forth as Tibbetts was running in the area, Rahn said.

An affidavit attached to the criminal complaint against Rivera alleged that he admitted to investigators he got out of his car and started running alongside Tibbetts.

Tibbetts grabbed her phone and said she was going to call the police. The affidavit said Rivera panicked and then said he blacked out. Rivera next remembers seeing her earphones on his lap, and taking her lifeless body out of the trunk of his car, it said.

"The defendant further described during the interview that he dragged Tibbetts on foot from his vehicle to a secluded location in a cornfield," the affidavit said.

Investigators said they had earlier searched the area for Tibbetts but didn't find her, noting the body was covered by corn stalks when recovered early Tuesday.

Rahn said Rivera was cooperating with investigators and speaking with the help of a translator. He said an autopsy would be performed on the body Wednesday by the state medical examiner's office, which would assist investigators in understanding whether Tibbetts had been assaulted or tried to fight him off.

Rivera's initial court appearance is scheduled for 1 p.m. Wednesday in Montezuma.

A conviction on first-degree murder carries a mandatory sentence of life in prison without parole in Iowa, which doesn't have the death penalty.

Tibbetts's disappearance set off a massive search involving dozens of officers from the FBI, as well as state and local agencies. They focused much of their efforts in and around Brooklyn, searching farm fields, ponds, and homes. Investigators asked anyone who was around five locations, including a car wash, a truck stop, and a farm south of town, to report if they saw anything suspicious on July 18.

Last week, Vice President Mike Pence met privately with the Tibbetts family during a visit to Iowa and told them that "you're on the hearts of every American."

At Brooklyn City Hall, city clerk Sheri Sharer said Tuesday was a sad day for the town.

"It never crossed our mind that she wouldn't come home safe," she said.

The University of Iowa mourned the loss of Tibbetts, a psychology major who would have started her junior year this week.

"We are deeply saddened that we've lost a member of the University of Iowa community," said university official Melissa Shivers, who urged students to seek counseling and other support services as needed.

Rahn said he met with the parents and other relatives of Tibbetts to inform them of the arrest Tuesday. He told them that the investigation revealed that they had "raised a great daughter."

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"We got to know Mollie," he said. "She was a phenomenal individual."

This article was reported by The Associated Press.