What is the Greatest Common Factor of 58959 and 58965?

Greatest common factor (GCF) of 58959 and 58965 is 3.

GCF(58959,58965) = 3

We will now calculate the prime factors of 58959 and 58965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58959 and 58965.

How to find the GCF of 58959 and 58965?

We will first find the prime factorization of 58959 and 58965. After we will calculate the factors of 58959 and 58965 and find the biggest common factor number .

Step-1: Prime Factorization of 58959

Prime factors of 58959 are 3, 6551. Prime factorization of 58959 in exponential form is:

58959 = 3² × 6551¹

Step-2: Prime Factorization of 58965

Prime factors of 58965 are 3, 5, 3931. Prime factorization of 58965 in exponential form is:

58965 = 3¹ × 5¹ × 3931¹

Step-3: Factors of 58959

List of positive integer factors of 58959 that divides 58959 without a remainder.

1, 3, 9, 6551, 19653

Step-4: Factors of 58965

List of positive integer factors of 58965 that divides 58959 without a remainder.

1, 3, 5, 15, 3931, 11793, 19655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58959 and 58965. The biggest common factor number is the GCF number.
So the greatest common factor 58959 and 58965 is 3.

Also check out the Least Common Multiple of 58959 and 58965