What is the Greatest Common Factor of 53180 and 53188?

Greatest common factor (GCF) of 53180 and 53188 is 4.

GCF(53180,53188) = 4

We will now calculate the prime factors of 53180 and 53188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53180 and 53188.

How to find the GCF of 53180 and 53188?

We will first find the prime factorization of 53180 and 53188. After we will calculate the factors of 53180 and 53188 and find the biggest common factor number .

Step-1: Prime Factorization of 53180

Prime factors of 53180 are 2, 5, 2659. Prime factorization of 53180 in exponential form is:

53180 = 2² × 5¹ × 2659¹

Step-2: Prime Factorization of 53188

Prime factors of 53188 are 2, 13297. Prime factorization of 53188 in exponential form is:

53188 = 2² × 13297¹

Step-3: Factors of 53180

List of positive integer factors of 53180 that divides 53180 without a remainder.

1, 2, 4, 5, 10, 20, 2659, 5318, 10636, 13295, 26590

Step-4: Factors of 53188

List of positive integer factors of 53188 that divides 53180 without a remainder.

1, 2, 4, 13297, 26594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53180 and 53188. The biggest common factor number is the GCF number.
So the greatest common factor 53180 and 53188 is 4.

Also check out the Least Common Multiple of 53180 and 53188