What is the Greatest Common Factor of 38656 and 38668?

Greatest common factor (GCF) of 38656 and 38668 is 4.

GCF(38656,38668) = 4

We will now calculate the prime factors of 38656 and 38668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38656 and 38668.

How to find the GCF of 38656 and 38668?

We will first find the prime factorization of 38656 and 38668. After we will calculate the factors of 38656 and 38668 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 38668

Prime factors of 38668 are 2, 7, 1381. Prime factorization of 38668 in exponential form is:

38668 = 2² × 7¹ × 1381¹

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 38668

List of positive integer factors of 38668 that divides 38656 without a remainder.

1, 2, 4, 7, 14, 28, 1381, 2762, 5524, 9667, 19334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38656 and 38668. The biggest common factor number is the GCF number.
So the greatest common factor 38656 and 38668 is 4.

Also check out the Least Common Multiple of 38656 and 38668