What is the Greatest Common Factor of 58944 and 58952?

Greatest common factor (GCF) of 58944 and 58952 is 8.

GCF(58944,58952) = 8

We will now calculate the prime factors of 58944 and 58952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58944 and 58952.

How to find the GCF of 58944 and 58952?

We will first find the prime factorization of 58944 and 58952. After we will calculate the factors of 58944 and 58952 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 58952

Prime factors of 58952 are 2, 7369. Prime factorization of 58952 in exponential form is:

58952 = 2³ × 7369¹

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 58952

List of positive integer factors of 58952 that divides 58944 without a remainder.

1, 2, 4, 8, 7369, 14738, 29476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58944 and 58952. The biggest common factor number is the GCF number.
So the greatest common factor 58944 and 58952 is 8.

Also check out the Least Common Multiple of 58944 and 58952