What is the Greatest Common Factor of 93180 and 93188?

Greatest common factor (GCF) of 93180 and 93188 is 4.

GCF(93180,93188) = 4

We will now calculate the prime factors of 93180 and 93188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93180 and 93188.

How to find the GCF of 93180 and 93188?

We will first find the prime factorization of 93180 and 93188. After we will calculate the factors of 93180 and 93188 and find the biggest common factor number .

Step-1: Prime Factorization of 93180

Prime factors of 93180 are 2, 3, 5, 1553. Prime factorization of 93180 in exponential form is:

93180 = 2² × 3¹ × 5¹ × 1553¹

Step-2: Prime Factorization of 93188

Prime factors of 93188 are 2, 23297. Prime factorization of 93188 in exponential form is:

93188 = 2² × 23297¹

Step-3: Factors of 93180

List of positive integer factors of 93180 that divides 93180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1553, 3106, 4659, 6212, 7765, 9318, 15530, 18636, 23295, 31060, 46590

Step-4: Factors of 93188

List of positive integer factors of 93188 that divides 93180 without a remainder.

1, 2, 4, 23297, 46594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93180 and 93188. The biggest common factor number is the GCF number.
So the greatest common factor 93180 and 93188 is 4.

Also check out the Least Common Multiple of 93180 and 93188