What is the Greatest Common Factor of 58920 and 58928?

Greatest common factor (GCF) of 58920 and 58928 is 8.

GCF(58920,58928) = 8

We will now calculate the prime factors of 58920 and 58928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58920 and 58928.

How to find the GCF of 58920 and 58928?

We will first find the prime factorization of 58920 and 58928. After we will calculate the factors of 58920 and 58928 and find the biggest common factor number .

Step-1: Prime Factorization of 58920

Prime factors of 58920 are 2, 3, 5, 491. Prime factorization of 58920 in exponential form is:

58920 = 2³ × 3¹ × 5¹ × 491¹

Step-2: Prime Factorization of 58928

Prime factors of 58928 are 2, 29, 127. Prime factorization of 58928 in exponential form is:

58928 = 2⁴ × 29¹ × 127¹

Step-3: Factors of 58920

List of positive integer factors of 58920 that divides 58920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 491, 982, 1473, 1964, 2455, 2946, 3928, 4910, 5892, 7365, 9820, 11784, 14730, 19640, 29460

Step-4: Factors of 58928

List of positive integer factors of 58928 that divides 58920 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 127, 232, 254, 464, 508, 1016, 2032, 3683, 7366, 14732, 29464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58920 and 58928. The biggest common factor number is the GCF number.
So the greatest common factor 58920 and 58928 is 8.

Also check out the Least Common Multiple of 58920 and 58928