What is the Greatest Common Factor of 15252 and 15264?

Greatest common factor (GCF) of 15252 and 15264 is 12.

GCF(15252,15264) = 12

We will now calculate the prime factors of 15252 and 15264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15252 and 15264.

How to find the GCF of 15252 and 15264?

We will first find the prime factorization of 15252 and 15264. After we will calculate the factors of 15252 and 15264 and find the biggest common factor number .

Step-1: Prime Factorization of 15252

Prime factors of 15252 are 2, 3, 31, 41. Prime factorization of 15252 in exponential form is:

15252 = 2² × 3¹ × 31¹ × 41¹

Step-2: Prime Factorization of 15264

Prime factors of 15264 are 2, 3, 53. Prime factorization of 15264 in exponential form is:

15264 = 2⁵ × 3² × 53¹

Step-3: Factors of 15252

List of positive integer factors of 15252 that divides 15252 without a remainder.

1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626

Step-4: Factors of 15264

List of positive integer factors of 15264 that divides 15252 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 53, 72, 96, 106, 144, 159, 212, 288, 318, 424, 477, 636, 848, 954, 1272, 1696, 1908, 2544, 3816, 5088, 7632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15252 and 15264. The biggest common factor number is the GCF number.
So the greatest common factor 15252 and 15264 is 12.

Also check out the Least Common Multiple of 15252 and 15264