What is the Greatest Common Factor of 7977 and 7983?

Greatest common factor (GCF) of 7977 and 7983 is 3.

GCF(7977,7983) = 3

We will now calculate the prime factors of 7977 and 7983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7977 and 7983.

How to find the GCF of 7977 and 7983?

We will first find the prime factorization of 7977 and 7983. After we will calculate the factors of 7977 and 7983 and find the biggest common factor number .

Step-1: Prime Factorization of 7977

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

7977 = 3¹ × 2659¹

Step-2: Prime Factorization of 7983

Prime factors of 7983 are 3, 887. Prime factorization of 7983 in exponential form is:

7983 = 3² × 887¹

Step-3: Factors of 7977

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

1, 3, 2659

Step-4: Factors of 7983

List of positive integer factors of 7983 that divides 7977 without a remainder.

1, 3, 9, 887, 2661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7977 and 7983. The biggest common factor number is the GCF number.
So the greatest common factor 7977 and 7983 is 3.

Also check out the Least Common Multiple of 7977 and 7983