What is the Greatest Common Factor of 37977 and 37992?

Greatest common factor (GCF) of 37977 and 37992 is 3.

GCF(37977,37992) = 3

We will now calculate the prime factors of 37977 and 37992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37977 and 37992.

How to find the GCF of 37977 and 37992?

We will first find the prime factorization of 37977 and 37992. After we will calculate the factors of 37977 and 37992 and find the biggest common factor number .

Step-1: Prime Factorization of 37977

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

37977 = 3¹ × 12659¹

Step-2: Prime Factorization of 37992

Prime factors of 37992 are 2, 3, 1583. Prime factorization of 37992 in exponential form is:

37992 = 2³ × 3¹ × 1583¹

Step-3: Factors of 37977

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

1, 3, 12659

Step-4: Factors of 37992

List of positive integer factors of 37992 that divides 37977 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1583, 3166, 4749, 6332, 9498, 12664, 18996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37977 and 37992. The biggest common factor number is the GCF number.
So the greatest common factor 37977 and 37992 is 3.

Also check out the Least Common Multiple of 37977 and 37992