How specifically are they different? What "known facts" do they contradict?
I thought you'd never ask. I'll keep my focus on Genesis 1 and 2.
The Genesis 1 creation account conflicts with the order of events that are known to science. In Genesis, the earth is created before light and stars, birds and whales before reptiles and insects, and flowering plants before any animals. The order of events known from science is just the opposite. 1:1-2:3
God creates light and separates light from darkness, and day from night, on the first day. Yet he didn't make the light producing objects (the sun and the stars) until the fourth day (1:14-19). And how could there be "the evening and the morning" on the first day if there was no sun to mark them? 1:3-5
God spends one-sixth of his entire creative effort (the second day) working on a solid firmament. This strange structure, which God calls heaven, is intended to separate the higher waters from the lower waters. 1:6-8
Plants are made on the third day before there was a sun to drive their photosynthetic processes (1:14-19). 1:11
God makes two lights: "the greater light [the sun] to rule the day, and the lesser light [the moon] to rule the night." But the moon is not a light, but only reflects light from the sun. And why, if God made the moon to "rule the night", does it spend half of its time moving through the daytime sky? 1:16
"He made the stars also." God spends a day making light (before making the stars) and separating light from darkness; then, at the end of a hard day's work, and almost as an afterthought, he makes the trillions of stars. 1:16
"And God set them [the stars] in the firmament of the heaven to give light upon the earth." 1:17
In verse 11, God "let the earth bring forth" the plants. Now he has the earth "bring forth" the animals as well. So maybe the creationists have it all wrong. Maybe God created livings things through the process of evolution. 1:24
"I have given you every herb ... and every tree ... for meat."
Since many plants have evolved poisons to protect against animals that would like to eat them, God's advice is more than a little reckless. Would you tell your children to go out in the garden and eat whatever plants they encounter? 1:29
All animals were originally herbivores. Tapeworms, vampire bats, mosquitoes, and barracudas -- all were strict vegetarians, as they were created by God. 1:30
In Genesis 1 the entire creation takes 6 days, but the universe is at least 12 billion years old, with new stars constantly being formed. 1:31
Humans were not created instantaneously from dust and breath, but evolved over millions of years from simpler life forms. 2:7
After making the animals, God has Adam name them all. The naming of several million species must have kept Adam busy for a while. 2:18-22
God fashions a woman out of one of Adam's ribs. Because of this story, it was commonly believed (and sometimes it is still said today) that males have one less rib than females. When Vesalius showed in 1543 that the number of ribs was the same in males and females, it created a storm of controversy. 2:19