What is the Greatest Common Factor of 15264 and 15268?

Greatest common factor (GCF) of 15264 and 15268 is 4.

GCF(15264,15268) = 4

We will now calculate the prime factors of 15264 and 15268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15264 and 15268.

How to find the GCF of 15264 and 15268?

We will first find the prime factorization of 15264 and 15268. After we will calculate the factors of 15264 and 15268 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 15268

Prime factors of 15268 are 2, 11, 347. Prime factorization of 15268 in exponential form is:

15268 = 2² × 11¹ × 347¹

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 15268

List of positive integer factors of 15268 that divides 15264 without a remainder.

1, 2, 4, 11, 22, 44, 347, 694, 1388, 3817, 7634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15264 and 15268. The biggest common factor number is the GCF number.
So the greatest common factor 15264 and 15268 is 4.

Also check out the Least Common Multiple of 15264 and 15268