What is the Greatest Common Factor of 59100 and 59110?

Greatest common factor (GCF) of 59100 and 59110 is 10.

GCF(59100,59110) = 10

We will now calculate the prime factors of 59100 and 59110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59100 and 59110.

How to find the GCF of 59100 and 59110?

We will first find the prime factorization of 59100 and 59110. After we will calculate the factors of 59100 and 59110 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59110

Prime factors of 59110 are 2, 5, 23, 257. Prime factorization of 59110 in exponential form is:

59110 = 2¹ × 5¹ × 23¹ × 257¹

Step-3: Factors of 59100

List of positive integer factors of 59100 that divides 59100 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

Step-4: Factors of 59110

List of positive integer factors of 59110 that divides 59100 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 257, 514, 1285, 2570, 5911, 11822, 29555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59100 and 59110. The biggest common factor number is the GCF number.
So the greatest common factor 59100 and 59110 is 10.

Also check out the Least Common Multiple of 59100 and 59110