What is the Greatest Common Factor of 59124 and 59132?

Greatest common factor (GCF) of 59124 and 59132 is 4.

GCF(59124,59132) = 4

We will now calculate the prime factors of 59124 and 59132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59124 and 59132.

How to find the GCF of 59124 and 59132?

We will first find the prime factorization of 59124 and 59132. After we will calculate the factors of 59124 and 59132 and find the biggest common factor number .

Step-1: Prime Factorization of 59124

Prime factors of 59124 are 2, 3, 13, 379. Prime factorization of 59124 in exponential form is:

59124 = 2² × 3¹ × 13¹ × 379¹

Step-2: Prime Factorization of 59132

Prime factors of 59132 are 2, 14783. Prime factorization of 59132 in exponential form is:

59132 = 2² × 14783¹

Step-3: Factors of 59124

List of positive integer factors of 59124 that divides 59124 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 379, 758, 1137, 1516, 2274, 4548, 4927, 9854, 14781, 19708, 29562

Step-4: Factors of 59132

List of positive integer factors of 59132 that divides 59124 without a remainder.

1, 2, 4, 14783, 29566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59124 and 59132. The biggest common factor number is the GCF number.
So the greatest common factor 59124 and 59132 is 4.

Also check out the Least Common Multiple of 59124 and 59132