What is the Greatest Common Factor of 15264 and 15276?

Greatest common factor (GCF) of 15264 and 15276 is 12.

GCF(15264,15276) = 12

We will now calculate the prime factors of 15264 and 15276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15264 and 15276.

How to find the GCF of 15264 and 15276?

We will first find the prime factorization of 15264 and 15276. After we will calculate the factors of 15264 and 15276 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15276

Prime factors of 15276 are 2, 3, 19, 67. Prime factorization of 15276 in exponential form is:

15276 = 2² × 3¹ × 19¹ × 67¹

Step-3: Factors of 15264

List of positive integer factors of 15264 that divides 15264 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

Step-4: Factors of 15276

List of positive integer factors of 15276 that divides 15264 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 67, 76, 114, 134, 201, 228, 268, 402, 804, 1273, 2546, 3819, 5092, 7638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15264 and 15276. The biggest common factor number is the GCF number.
So the greatest common factor 15264 and 15276 is 12.

Also check out the Least Common Multiple of 15264 and 15276