What is the Greatest Common Factor of 58175 and 58188?

Greatest common factor (GCF) of 58175 and 58188 is 13.

GCF(58175,58188) = 13

We will now calculate the prime factors of 58175 and 58188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58175 and 58188.

How to find the GCF of 58175 and 58188?

We will first find the prime factorization of 58175 and 58188. After we will calculate the factors of 58175 and 58188 and find the biggest common factor number .

Step-1: Prime Factorization of 58175

Prime factors of 58175 are 5, 13, 179. Prime factorization of 58175 in exponential form is:

58175 = 5² × 13¹ × 179¹

Step-2: Prime Factorization of 58188

Prime factors of 58188 are 2, 3, 13, 373. Prime factorization of 58188 in exponential form is:

58188 = 2² × 3¹ × 13¹ × 373¹

Step-3: Factors of 58175

List of positive integer factors of 58175 that divides 58175 without a remainder.

1, 5, 13, 25, 65, 179, 325, 895, 2327, 4475, 11635

Step-4: Factors of 58188

List of positive integer factors of 58188 that divides 58175 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 373, 746, 1119, 1492, 2238, 4476, 4849, 9698, 14547, 19396, 29094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58175 and 58188. The biggest common factor number is the GCF number.
So the greatest common factor 58175 and 58188 is 13.

Also check out the Least Common Multiple of 58175 and 58188