What is the Greatest Common Factor of 58971 and 58989?

Greatest common factor (GCF) of 58971 and 58989 is 3.

GCF(58971,58989) = 3

We will now calculate the prime factors of 58971 and 58989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58971 and 58989.

How to find the GCF of 58971 and 58989?

We will first find the prime factorization of 58971 and 58989. After we will calculate the factors of 58971 and 58989 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 58989

Prime factors of 58989 are 3, 7, 53. Prime factorization of 58989 in exponential form is:

58989 = 3¹ × 7¹ × 53²

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 58989

List of positive integer factors of 58989 that divides 58971 without a remainder.

1, 3, 7, 21, 53, 159, 371, 1113, 2809, 8427, 19663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58971 and 58989. The biggest common factor number is the GCF number.
So the greatest common factor 58971 and 58989 is 3.

Also check out the Least Common Multiple of 58971 and 58989