What is the Greatest Common Factor of 63252 and 63264?

Greatest common factor (GCF) of 63252 and 63264 is 12.

GCF(63252,63264) = 12

We will now calculate the prime factors of 63252 and 63264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63252 and 63264.

How to find the GCF of 63252 and 63264?

We will first find the prime factorization of 63252 and 63264. After we will calculate the factors of 63252 and 63264 and find the biggest common factor number .

Step-1: Prime Factorization of 63252

Prime factors of 63252 are 2, 3, 7, 251. Prime factorization of 63252 in exponential form is:

63252 = 2² × 3² × 7¹ × 251¹

Step-2: Prime Factorization of 63264

Prime factors of 63264 are 2, 3, 659. Prime factorization of 63264 in exponential form is:

63264 = 2⁵ × 3¹ × 659¹

Step-3: Factors of 63252

List of positive integer factors of 63252 that divides 63252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 251, 252, 502, 753, 1004, 1506, 1757, 2259, 3012, 3514, 4518, 5271, 7028, 9036, 10542, 15813, 21084, 31626

Step-4: Factors of 63264

List of positive integer factors of 63264 that divides 63252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 659, 1318, 1977, 2636, 3954, 5272, 7908, 10544, 15816, 21088, 31632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63252 and 63264. The biggest common factor number is the GCF number.
So the greatest common factor 63252 and 63264 is 12.

Also check out the Least Common Multiple of 63252 and 63264