What is the Greatest Common Factor of 43251 and 43264?

Greatest common factor (GCF) of 43251 and 43264 is 13.

GCF(43251,43264) = 13

We will now calculate the prime factors of 43251 and 43264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43251 and 43264.

How to find the GCF of 43251 and 43264?

We will first find the prime factorization of 43251 and 43264. After we will calculate the factors of 43251 and 43264 and find the biggest common factor number .

Step-1: Prime Factorization of 43251

Prime factors of 43251 are 3, 13, 1109. Prime factorization of 43251 in exponential form is:

43251 = 3¹ × 13¹ × 1109¹

Step-2: Prime Factorization of 43264

Prime factors of 43264 are 2, 13. Prime factorization of 43264 in exponential form is:

43264 = 2⁸ × 13²

Step-3: Factors of 43251

List of positive integer factors of 43251 that divides 43251 without a remainder.

1, 3, 13, 39, 1109, 3327, 14417

Step-4: Factors of 43264

List of positive integer factors of 43264 that divides 43251 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 169, 208, 256, 338, 416, 676, 832, 1352, 1664, 2704, 3328, 5408, 10816, 21632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43251 and 43264. The biggest common factor number is the GCF number.
So the greatest common factor 43251 and 43264 is 13.

Also check out the Least Common Multiple of 43251 and 43264