What is the Greatest Common Factor of 58971 and 58977?

Greatest common factor (GCF) of 58971 and 58977 is 3.

GCF(58971,58977) = 3

We will now calculate the prime factors of 58971 and 58977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58971 and 58977.

How to find the GCF of 58971 and 58977?

We will first find the prime factorization of 58971 and 58977. After we will calculate the factors of 58971 and 58977 and find the biggest common factor number .

Step-1: Prime Factorization of 58971

Prime factors of 58971 are 3, 11, 1787. Prime factorization of 58971 in exponential form is:

58971 = 3¹ × 11¹ × 1787¹

Step-2: Prime Factorization of 58977

Prime factors of 58977 are 3, 6553. Prime factorization of 58977 in exponential form is:

58977 = 3² × 6553¹

Step-3: Factors of 58971

List of positive integer factors of 58971 that divides 58971 without a remainder.

1, 3, 11, 33, 1787, 5361, 19657

Step-4: Factors of 58977

List of positive integer factors of 58977 that divides 58971 without a remainder.

1, 3, 9, 6553, 19659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58971 and 58977. The biggest common factor number is the GCF number.
So the greatest common factor 58971 and 58977 is 3.

Also check out the Least Common Multiple of 58971 and 58977