What is the greatest common factor of 144 and 252?

Answer 1

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 144 and 252 is 36

Answer 2

The greatest common factor (GCF) of 144 and 252 is the largest number that divides evenly into both 144 and 252. To find the GCF, you can list the factors of each number and identify the largest factor they have in common. The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, and 252. The GCF of 144 and 252 is 36.

Answer 3

The GCF of 24 and 162 is 6.

The prime factorization of 24 is 2*2*2*3
The prime factorization of 162 is 2*3*3*3*3

The GCF thus is 2*3 = 6.

Answer 4

The GCF is 6.
6

Answer 5

The GCF of 24 and 252 is 12.