What is the Greatest Common Factor of 58928 and 58940?

Greatest common factor (GCF) of 58928 and 58940 is 4.

GCF(58928,58940) = 4

We will now calculate the prime factors of 58928 and 58940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58928 and 58940.

How to find the GCF of 58928 and 58940?

We will first find the prime factorization of 58928 and 58940. After we will calculate the factors of 58928 and 58940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58940

Prime factors of 58940 are 2, 5, 7, 421. Prime factorization of 58940 in exponential form is:

58940 = 2² × 5¹ × 7¹ × 421¹

Step-3: Factors of 58928

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

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

Step-4: Factors of 58940

List of positive integer factors of 58940 that divides 58928 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 421, 842, 1684, 2105, 2947, 4210, 5894, 8420, 11788, 14735, 29470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58928 and 58940. The biggest common factor number is the GCF number.
So the greatest common factor 58928 and 58940 is 4.

Also check out the Least Common Multiple of 58928 and 58940