What is the Greatest Common Factor of 58956 and 58971?

Greatest common factor (GCF) of 58956 and 58971 is 3.

GCF(58956,58971) = 3

We will now calculate the prime factors of 58956 and 58971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58956 and 58971.

How to find the GCF of 58956 and 58971?

We will first find the prime factorization of 58956 and 58971. After we will calculate the factors of 58956 and 58971 and find the biggest common factor number .

Step-1: Prime Factorization of 58956

Prime factors of 58956 are 2, 3, 17. Prime factorization of 58956 in exponential form is:

58956 = 2² × 3¹ × 17³

Step-2: 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-3: Factors of 58956

List of positive integer factors of 58956 that divides 58956 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468, 4913, 9826, 14739, 19652, 29478

Step-4: Factors of 58971

List of positive integer factors of 58971 that divides 58956 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58956 and 58971. The biggest common factor number is the GCF number.
So the greatest common factor 58956 and 58971 is 3.

Also check out the Least Common Multiple of 58956 and 58971