What is the Greatest Common Factor of 58724 and 58728?

Greatest common factor (GCF) of 58724 and 58728 is 4.

GCF(58724,58728) = 4

We will now calculate the prime factors of 58724 and 58728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58724 and 58728.

How to find the GCF of 58724 and 58728?

We will first find the prime factorization of 58724 and 58728. After we will calculate the factors of 58724 and 58728 and find the biggest common factor number .

Step-1: Prime Factorization of 58724

Prime factors of 58724 are 2, 53, 277. Prime factorization of 58724 in exponential form is:

58724 = 2² × 53¹ × 277¹

Step-2: Prime Factorization of 58728

Prime factors of 58728 are 2, 3, 2447. Prime factorization of 58728 in exponential form is:

58728 = 2³ × 3¹ × 2447¹

Step-3: Factors of 58724

List of positive integer factors of 58724 that divides 58724 without a remainder.

1, 2, 4, 53, 106, 212, 277, 554, 1108, 14681, 29362

Step-4: Factors of 58728

List of positive integer factors of 58728 that divides 58724 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2447, 4894, 7341, 9788, 14682, 19576, 29364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58724 and 58728. The biggest common factor number is the GCF number.
So the greatest common factor 58724 and 58728 is 4.

Also check out the Least Common Multiple of 58724 and 58728