What is the Greatest Common Factor of 58944 and 58962?

Greatest common factor (GCF) of 58944 and 58962 is 6.

GCF(58944,58962) = 6

We will now calculate the prime factors of 58944 and 58962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58944 and 58962.

How to find the GCF of 58944 and 58962?

We will first find the prime factorization of 58944 and 58962. After we will calculate the factors of 58944 and 58962 and find the biggest common factor number .

Step-1: Prime Factorization of 58944

Prime factors of 58944 are 2, 3, 307. Prime factorization of 58944 in exponential form is:

58944 = 2⁶ × 3¹ × 307¹

Step-2: Prime Factorization of 58962

Prime factors of 58962 are 2, 3, 31, 317. Prime factorization of 58962 in exponential form is:

58962 = 2¹ × 3¹ × 31¹ × 317¹

Step-3: Factors of 58944

List of positive integer factors of 58944 that divides 58944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 307, 614, 921, 1228, 1842, 2456, 3684, 4912, 7368, 9824, 14736, 19648, 29472

Step-4: Factors of 58962

List of positive integer factors of 58962 that divides 58944 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 317, 634, 951, 1902, 9827, 19654, 29481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58944 and 58962. The biggest common factor number is the GCF number.
So the greatest common factor 58944 and 58962 is 6.

Also check out the Least Common Multiple of 58944 and 58962