What is the Greatest Common Factor of 21172 and 21188?

Greatest common factor (GCF) of 21172 and 21188 is 4.

GCF(21172,21188) = 4

We will now calculate the prime factors of 21172 and 21188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21172 and 21188.

How to find the GCF of 21172 and 21188?

We will first find the prime factorization of 21172 and 21188. After we will calculate the factors of 21172 and 21188 and find the biggest common factor number .

Step-1: Prime Factorization of 21172

Prime factors of 21172 are 2, 67, 79. Prime factorization of 21172 in exponential form is:

21172 = 2² × 67¹ × 79¹

Step-2: Prime Factorization of 21188

Prime factors of 21188 are 2, 5297. Prime factorization of 21188 in exponential form is:

21188 = 2² × 5297¹

Step-3: Factors of 21172

List of positive integer factors of 21172 that divides 21172 without a remainder.

1, 2, 4, 67, 79, 134, 158, 268, 316, 5293, 10586

Step-4: Factors of 21188

List of positive integer factors of 21188 that divides 21172 without a remainder.

1, 2, 4, 5297, 10594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21172 and 21188. The biggest common factor number is the GCF number.
So the greatest common factor 21172 and 21188 is 4.

Also check out the Least Common Multiple of 21172 and 21188