What is the Greatest Common Factor of 59112 and 59124?

Greatest common factor (GCF) of 59112 and 59124 is 12.

GCF(59112,59124) = 12

We will now calculate the prime factors of 59112 and 59124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59112 and 59124.

How to find the GCF of 59112 and 59124?

We will first find the prime factorization of 59112 and 59124. After we will calculate the factors of 59112 and 59124 and find the biggest common factor number .

Step-1: Prime Factorization of 59112

Prime factors of 59112 are 2, 3, 821. Prime factorization of 59112 in exponential form is:

59112 = 2³ × 3² × 821¹

Step-2: 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-3: Factors of 59112

List of positive integer factors of 59112 that divides 59112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 821, 1642, 2463, 3284, 4926, 6568, 7389, 9852, 14778, 19704, 29556

Step-4: Factors of 59124

List of positive integer factors of 59124 that divides 59112 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59112 and 59124. The biggest common factor number is the GCF number.
So the greatest common factor 59112 and 59124 is 12.

Also check out the Least Common Multiple of 59112 and 59124