What is the Greatest Common Factor of 59124 and 59131?

Greatest common factor (GCF) of 59124 and 59131 is 1.

GCF(59124,59131) = 1

We will now calculate the prime factors of 59124 and 59131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59124 and 59131.

How to find the GCF of 59124 and 59131?

We will first find the prime factorization of 59124 and 59131. After we will calculate the factors of 59124 and 59131 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 59131

Prime factors of 59131 are 29, 2039. Prime factorization of 59131 in exponential form is:

59131 = 29¹ × 2039¹

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 59131

List of positive integer factors of 59131 that divides 59124 without a remainder.

1, 29, 2039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59124 and 59131. The biggest common factor number is the GCF number.
So the greatest common factor 59124 and 59131 is 1.

Also check out the Least Common Multiple of 59124 and 59131