What is the Greatest Common Factor of 7971 and 7977?

Greatest common factor (GCF) of 7971 and 7977 is 3.

GCF(7971,7977) = 3

We will now calculate the prime factors of 7971 and 7977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7971 and 7977.

How to find the GCF of 7971 and 7977?

We will first find the prime factorization of 7971 and 7977. After we will calculate the factors of 7971 and 7977 and find the biggest common factor number .

Step-1: Prime Factorization of 7971

Prime factors of 7971 are 3, 2657. Prime factorization of 7971 in exponential form is:

7971 = 3¹ × 2657¹

Step-2: Prime Factorization of 7977

Prime factors of 7977 are 3, 2659. Prime factorization of 7977 in exponential form is:

7977 = 3¹ × 2659¹

Step-3: Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1, 3, 2657

Step-4: Factors of 7977

List of positive integer factors of 7977 that divides 7971 without a remainder.

1, 3, 2659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7971 and 7977. The biggest common factor number is the GCF number.
So the greatest common factor 7971 and 7977 is 3.

Also check out the Least Common Multiple of 7971 and 7977