What is the Greatest Common Factor of 38264 and 38272?

Greatest common factor (GCF) of 38264 and 38272 is 8.

GCF(38264,38272) = 8

We will now calculate the prime factors of 38264 and 38272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38264 and 38272.

How to find the GCF of 38264 and 38272?

We will first find the prime factorization of 38264 and 38272. After we will calculate the factors of 38264 and 38272 and find the biggest common factor number .

Step-1: Prime Factorization of 38264

Prime factors of 38264 are 2, 4783. Prime factorization of 38264 in exponential form is:

38264 = 2³ × 4783¹

Step-2: Prime Factorization of 38272

Prime factors of 38272 are 2, 13, 23. Prime factorization of 38272 in exponential form is:

38272 = 2⁷ × 13¹ × 23¹

Step-3: Factors of 38264

List of positive integer factors of 38264 that divides 38264 without a remainder.

1, 2, 4, 8, 4783, 9566, 19132

Step-4: Factors of 38272

List of positive integer factors of 38272 that divides 38264 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 64, 92, 104, 128, 184, 208, 299, 368, 416, 598, 736, 832, 1196, 1472, 1664, 2392, 2944, 4784, 9568, 19136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38264 and 38272. The biggest common factor number is the GCF number.
So the greatest common factor 38264 and 38272 is 8.

Also check out the Least Common Multiple of 38264 and 38272