Gwyneth Paltrow and Chris Martin's "conscious uncoupling" is complete.

Two years after announcing their split, a Los Angeles judge finalized their divorce on Thursday, according to court papers obtained by E! News. The exes reached a settlement in May with both parties giving up their rights to spousal support while determining child custody, visitation and support in a private agreement, according to court documents previously obtained by E! News.

Paltrow, 43, and Martin, 39, have made co-parenting daughter Apple, 12, and son Moses, 10, a top priority, and despite their personal breakup, the exes have remained close friends.

"I think, unfortunately, though we couldn't stay in a romantic relationship, we're very, our values are very much around the importance of family and the importance of those relationships and I'm lucky that we're aligned in that way," Paltrow said at a #BlogHer15 conference in New York last year. "And it's been hard, and you know, like, we've gone through really difficult times with it but we've always said these children are our priority."

"What that really means is, 'Even though today, you hate me and you never want to see me again, like, we're going to brunch, 'cause it's Sunday and that's what we'll do!' You know, like, 'That's what's happening!'" she explained. "Like, the children are our commitment."

Paltrow is currently dating Glee co-creator Brad Falchuk while Martin has been romantically linked to Jennifer Lawrence and Annabelle Wallis post-split.

—Reporting by Lindsay Good

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