What is the Greatest Common Factor of 37957 and 37977?

Greatest common factor (GCF) of 37957 and 37977 is 1.

GCF(37957,37977) = 1

We will now calculate the prime factors of 37957 and 37977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37957 and 37977.

How to find the GCF of 37957 and 37977?

We will first find the prime factorization of 37957 and 37977. After we will calculate the factors of 37957 and 37977 and find the biggest common factor number .

Step-1: Prime Factorization of 37957

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

37957 = 37957¹

Step-2: Prime Factorization of 37977

Prime factors of 37977 are 3, 12659. Prime factorization of 37977 in exponential form is:

37977 = 3¹ × 12659¹

Step-3: Factors of 37957

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

Step-4: Factors of 37977

List of positive integer factors of 37977 that divides 37957 without a remainder.

1, 3, 12659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37957 and 37977. The biggest common factor number is the GCF number.
So the greatest common factor 37957 and 37977 is 1.

Also check out the Least Common Multiple of 37957 and 37977