What is the Greatest Common Factor of 58974 and 58992?

Greatest common factor (GCF) of 58974 and 58992 is 6.

GCF(58974,58992) = 6

We will now calculate the prime factors of 58974 and 58992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58974 and 58992.

How to find the GCF of 58974 and 58992?

We will first find the prime factorization of 58974 and 58992. After we will calculate the factors of 58974 and 58992 and find the biggest common factor number .

Step-1: Prime Factorization of 58974

Prime factors of 58974 are 2, 3, 9829. Prime factorization of 58974 in exponential form is:

58974 = 2¹ × 3¹ × 9829¹

Step-2: Prime Factorization of 58992

Prime factors of 58992 are 2, 3, 1229. Prime factorization of 58992 in exponential form is:

58992 = 2⁴ × 3¹ × 1229¹

Step-3: Factors of 58974

List of positive integer factors of 58974 that divides 58974 without a remainder.

1, 2, 3, 6, 9829, 19658, 29487

Step-4: Factors of 58992

List of positive integer factors of 58992 that divides 58974 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1229, 2458, 3687, 4916, 7374, 9832, 14748, 19664, 29496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58974 and 58992. The biggest common factor number is the GCF number.
So the greatest common factor 58974 and 58992 is 6.

Also check out the Least Common Multiple of 58974 and 58992