September 20, 2016 03:35 PM

While their marriage is coming to an end, there is no question that Angelina Jolie and Brad Pitt are continuing to put their children first.

“Both Brad and Angelina care very much about their kids,” a source tells PEOPLE, adding that “it should be clear that Angelina is a great mother, and Brad is a great father. It is unfortunate if anybody tries to introduce negativity into what is already a very difficult and painful situation.”

Jolie filed for divorce on Monday citing irreconcilable differences, and both actors have since focused on the well-being of their six children in their respective statements.

“This decision was made for the health of the family,” Jolie’s attorney said in a statement to PEOPLE. “She will not be commenting at this time, and asks that the family be given their privacy during this difficult time.”

“I am very saddened by this, but what matters most now is the well-being of our kids,” Pitt said in a separate statement to PEOPLE. “I kindly ask the press to give them the space they deserve during this challenging time.”

FLASHBACK: Brad and Angelina at the 2012 Golden Globes

Pitt and Jolie first met on the 2003 set of their 2005 thriller Mr. & Mrs. Smith, and began publicly dating a few years later. They welcomed their first child together, daughter Shiloh, now 10, in May 2006. She joined Jolie’s adopted brood of Maddox, now 15, and Zahara, now 11.

In 2007, the couple adopted son Pax, now 12, from a Vietnamese orphanage.

The next year, twins Knox and Vivienne were born. Of their new family of eight, Jolie told PEOPLE at the time, “It is chaos, but we are managing it and having a wonderful time.”

In her divorce filing, Jolie asked for physical custody of the couple’s shared six children. She did not request child or spousal support.

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