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The GCF of 84 and 144 is 12.

You must do the prime factorization of each number.

The prime factorization of 144 is 2 to the fourth power times 3 squared.

The prime factorization of 84 is 2 squared times 7 times 3.

You take the least of each common factor which would be 2 squared and 3.

Two squared equals 4 and 4 times 3 equals 12, so the GCF is 12.

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Q: What is The greatest common factor of 84 and 144?
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