What is the Greatest Common Factor of 3180 and 3188?

Greatest common factor (GCF) of 3180 and 3188 is 4.

GCF(3180,3188) = 4

We will now calculate the prime factors of 3180 and 3188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3180 and 3188.

How to find the GCF of 3180 and 3188?

We will first find the prime factorization of 3180 and 3188. After we will calculate the factors of 3180 and 3188 and find the biggest common factor number .

Step-1: Prime Factorization of 3180

Prime factors of 3180 are 2, 3, 5, 53. Prime factorization of 3180 in exponential form is:

3180 = 2² × 3¹ × 5¹ × 53¹

Step-2: Prime Factorization of 3188

Prime factors of 3188 are 2, 797. Prime factorization of 3188 in exponential form is:

3188 = 2² × 797¹

Step-3: Factors of 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590

Step-4: Factors of 3188

List of positive integer factors of 3188 that divides 3180 without a remainder.

1, 2, 4, 797, 1594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3180 and 3188. The biggest common factor number is the GCF number.
So the greatest common factor 3180 and 3188 is 4.

Also check out the Least Common Multiple of 3180 and 3188