What is the Greatest Common Factor of 59088 and 59100?

Greatest common factor (GCF) of 59088 and 59100 is 12.

GCF(59088,59100) = 12

We will now calculate the prime factors of 59088 and 59100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59088 and 59100.

How to find the GCF of 59088 and 59100?

We will first find the prime factorization of 59088 and 59100. After we will calculate the factors of 59088 and 59100 and find the biggest common factor number .

Step-1: Prime Factorization of 59088

Prime factors of 59088 are 2, 3, 1231. Prime factorization of 59088 in exponential form is:

59088 = 2⁴ × 3¹ × 1231¹

Step-2: Prime Factorization of 59100

Prime factors of 59100 are 2, 3, 5, 197. Prime factorization of 59100 in exponential form is:

59100 = 2² × 3¹ × 5² × 197¹

Step-3: Factors of 59088

List of positive integer factors of 59088 that divides 59088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1231, 2462, 3693, 4924, 7386, 9848, 14772, 19696, 29544

Step-4: Factors of 59100

List of positive integer factors of 59100 that divides 59088 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 197, 300, 394, 591, 788, 985, 1182, 1970, 2364, 2955, 3940, 4925, 5910, 9850, 11820, 14775, 19700, 29550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59088 and 59100. The biggest common factor number is the GCF number.
So the greatest common factor 59088 and 59100 is 12.

Also check out the Least Common Multiple of 59088 and 59100