What is the Greatest Common Factor of 59124 and 59129?

Greatest common factor (GCF) of 59124 and 59129 is 1.

GCF(59124,59129) = 1

We will now calculate the prime factors of 59124 and 59129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59124 and 59129.

How to find the GCF of 59124 and 59129?

We will first find the prime factorization of 59124 and 59129. After we will calculate the factors of 59124 and 59129 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 59129

Prime factors of 59129 are 7, 8447. Prime factorization of 59129 in exponential form is:

59129 = 7¹ × 8447¹

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 59129

List of positive integer factors of 59129 that divides 59124 without a remainder.

1, 7, 8447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59124 and 59129. The biggest common factor number is the GCF number.
So the greatest common factor 59124 and 59129 is 1.

Also check out the Least Common Multiple of 59124 and 59129