What is the Greatest Common Factor of 45175 and 45188?

Greatest common factor (GCF) of 45175 and 45188 is 13.

GCF(45175,45188) = 13

We will now calculate the prime factors of 45175 and 45188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45175 and 45188.

How to find the GCF of 45175 and 45188?

We will first find the prime factorization of 45175 and 45188. After we will calculate the factors of 45175 and 45188 and find the biggest common factor number .

Step-1: Prime Factorization of 45175

Prime factors of 45175 are 5, 13, 139. Prime factorization of 45175 in exponential form is:

45175 = 5² × 13¹ × 139¹

Step-2: Prime Factorization of 45188

Prime factors of 45188 are 2, 11, 13, 79. Prime factorization of 45188 in exponential form is:

45188 = 2² × 11¹ × 13¹ × 79¹

Step-3: Factors of 45175

List of positive integer factors of 45175 that divides 45175 without a remainder.

1, 5, 13, 25, 65, 139, 325, 695, 1807, 3475, 9035

Step-4: Factors of 45188

List of positive integer factors of 45188 that divides 45175 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 79, 143, 158, 286, 316, 572, 869, 1027, 1738, 2054, 3476, 4108, 11297, 22594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45175 and 45188. The biggest common factor number is the GCF number.
So the greatest common factor 45175 and 45188 is 13.

Also check out the Least Common Multiple of 45175 and 45188