What is the Greatest Common Factor of 38944 and 38957?

Greatest common factor (GCF) of 38944 and 38957 is 1.

GCF(38944,38957) = 1

We will now calculate the prime factors of 38944 and 38957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38944 and 38957.

How to find the GCF of 38944 and 38957?

We will first find the prime factorization of 38944 and 38957. After we will calculate the factors of 38944 and 38957 and find the biggest common factor number .

Step-1: Prime Factorization of 38944

Prime factors of 38944 are 2, 1217. Prime factorization of 38944 in exponential form is:

38944 = 2⁵ × 1217¹

Step-2: Prime Factorization of 38957

Prime factors of 38957 are 163, 239. Prime factorization of 38957 in exponential form is:

38957 = 163¹ × 239¹

Step-3: Factors of 38944

List of positive integer factors of 38944 that divides 38944 without a remainder.

1, 2, 4, 8, 16, 32, 1217, 2434, 4868, 9736, 19472

Step-4: Factors of 38957

List of positive integer factors of 38957 that divides 38944 without a remainder.

1, 163, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38944 and 38957. The biggest common factor number is the GCF number.
So the greatest common factor 38944 and 38957 is 1.

Also check out the Least Common Multiple of 38944 and 38957