What is the Greatest Common Factor of 38656 and 38674?

Greatest common factor (GCF) of 38656 and 38674 is 2.

GCF(38656,38674) = 2

We will now calculate the prime factors of 38656 and 38674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38656 and 38674.

How to find the GCF of 38656 and 38674?

We will first find the prime factorization of 38656 and 38674. After we will calculate the factors of 38656 and 38674 and find the biggest common factor number .

Step-1: Prime Factorization of 38656

Prime factors of 38656 are 2, 151. Prime factorization of 38656 in exponential form is:

38656 = 2⁸ × 151¹

Step-2: Prime Factorization of 38674

Prime factors of 38674 are 2, 61, 317. Prime factorization of 38674 in exponential form is:

38674 = 2¹ × 61¹ × 317¹

Step-3: Factors of 38656

List of positive integer factors of 38656 that divides 38656 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 151, 256, 302, 604, 1208, 2416, 4832, 9664, 19328

Step-4: Factors of 38674

List of positive integer factors of 38674 that divides 38656 without a remainder.

1, 2, 61, 122, 317, 634, 19337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38656 and 38674. The biggest common factor number is the GCF number.
So the greatest common factor 38656 and 38674 is 2.

Also check out the Least Common Multiple of 38656 and 38674