What is the Greatest Common Factor of 53256 and 53264?

Greatest common factor (GCF) of 53256 and 53264 is 8.

GCF(53256,53264) = 8

We will now calculate the prime factors of 53256 and 53264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53256 and 53264.

How to find the GCF of 53256 and 53264?

We will first find the prime factorization of 53256 and 53264. After we will calculate the factors of 53256 and 53264 and find the biggest common factor number .

Step-1: Prime Factorization of 53256

Prime factors of 53256 are 2, 3, 7, 317. Prime factorization of 53256 in exponential form is:

53256 = 2³ × 3¹ × 7¹ × 317¹

Step-2: Prime Factorization of 53264

Prime factors of 53264 are 2, 3329. Prime factorization of 53264 in exponential form is:

53264 = 2⁴ × 3329¹

Step-3: Factors of 53256

List of positive integer factors of 53256 that divides 53256 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 317, 634, 951, 1268, 1902, 2219, 2536, 3804, 4438, 6657, 7608, 8876, 13314, 17752, 26628

Step-4: Factors of 53264

List of positive integer factors of 53264 that divides 53256 without a remainder.

1, 2, 4, 8, 16, 3329, 6658, 13316, 26632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53256 and 53264. The biggest common factor number is the GCF number.
So the greatest common factor 53256 and 53264 is 8.

Also check out the Least Common Multiple of 53256 and 53264