What is the Greatest Common Factor of 59124 and 59142?

Greatest common factor (GCF) of 59124 and 59142 is 6.

GCF(59124,59142) = 6

We will now calculate the prime factors of 59124 and 59142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59124 and 59142.

How to find the GCF of 59124 and 59142?

We will first find the prime factorization of 59124 and 59142. After we will calculate the factors of 59124 and 59142 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 59142

Prime factors of 59142 are 2, 3, 9857. Prime factorization of 59142 in exponential form is:

59142 = 2¹ × 3¹ × 9857¹

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 59142

List of positive integer factors of 59142 that divides 59124 without a remainder.

1, 2, 3, 6, 9857, 19714, 29571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59124 and 59142. The biggest common factor number is the GCF number.
So the greatest common factor 59124 and 59142 is 6.

Also check out the Least Common Multiple of 59124 and 59142