What is the Greatest Common Factor of 37948 and 37957?

Greatest common factor (GCF) of 37948 and 37957 is 1.

GCF(37948,37957) = 1

We will now calculate the prime factors of 37948 and 37957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37948 and 37957.

How to find the GCF of 37948 and 37957?

We will first find the prime factorization of 37948 and 37957. After we will calculate the factors of 37948 and 37957 and find the biggest common factor number .

Step-1: Prime Factorization of 37948

Prime factors of 37948 are 2, 53, 179. Prime factorization of 37948 in exponential form is:

37948 = 2² × 53¹ × 179¹

Step-2: Prime Factorization of 37957

Prime factors of 37957 are 37957. Prime factorization of 37957 in exponential form is:

37957 = 37957¹

Step-3: Factors of 37948

List of positive integer factors of 37948 that divides 37948 without a remainder.

1, 2, 4, 53, 106, 179, 212, 358, 716, 9487, 18974

Step-4: Factors of 37957

List of positive integer factors of 37957 that divides 37948 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37948 and 37957. The biggest common factor number is the GCF number.
So the greatest common factor 37948 and 37957 is 1.

Also check out the Least Common Multiple of 37948 and 37957