What is the Greatest Common Factor of 58169 and 58188?

Greatest common factor (GCF) of 58169 and 58188 is 1.

GCF(58169,58188) = 1

We will now calculate the prime factors of 58169 and 58188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58169 and 58188.

How to find the GCF of 58169 and 58188?

We will first find the prime factorization of 58169 and 58188. After we will calculate the factors of 58169 and 58188 and find the biggest common factor number .

Step-1: Prime Factorization of 58169

Prime factors of 58169 are 58169. Prime factorization of 58169 in exponential form is:

58169 = 58169¹

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 58169

List of positive integer factors of 58169 that divides 58169 without a remainder.

Step-4: Factors of 58188

List of positive integer factors of 58188 that divides 58169 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 58169 and 58188. The biggest common factor number is the GCF number.
So the greatest common factor 58169 and 58188 is 1.

Also check out the Least Common Multiple of 58169 and 58188