What is the Greatest Common Factor of 28164 and 28172?

Greatest common factor (GCF) of 28164 and 28172 is 4.

GCF(28164,28172) = 4

We will now calculate the prime factors of 28164 and 28172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28164 and 28172.

How to find the GCF of 28164 and 28172?

We will first find the prime factorization of 28164 and 28172. After we will calculate the factors of 28164 and 28172 and find the biggest common factor number .

Step-1: Prime Factorization of 28164

Prime factors of 28164 are 2, 3, 2347. Prime factorization of 28164 in exponential form is:

28164 = 2² × 3¹ × 2347¹

Step-2: Prime Factorization of 28172

Prime factors of 28172 are 2, 7043. Prime factorization of 28172 in exponential form is:

28172 = 2² × 7043¹

Step-3: Factors of 28164

List of positive integer factors of 28164 that divides 28164 without a remainder.

1, 2, 3, 4, 6, 12, 2347, 4694, 7041, 9388, 14082

Step-4: Factors of 28172

List of positive integer factors of 28172 that divides 28164 without a remainder.

1, 2, 4, 7043, 14086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28164 and 28172. The biggest common factor number is the GCF number.
So the greatest common factor 28164 and 28172 is 4.

Also check out the Least Common Multiple of 28164 and 28172