What is the Greatest Common Factor of 28168 and 28172?

Greatest common factor (GCF) of 28168 and 28172 is 4.

GCF(28168,28172) = 4

We will now calculate the prime factors of 28168 and 28172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28168 and 28172.

How to find the GCF of 28168 and 28172?

We will first find the prime factorization of 28168 and 28172. After we will calculate the factors of 28168 and 28172 and find the biggest common factor number .

Step-1: Prime Factorization of 28168

Prime factors of 28168 are 2, 7, 503. Prime factorization of 28168 in exponential form is:

28168 = 2³ × 7¹ × 503¹

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 28168

List of positive integer factors of 28168 that divides 28168 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 503, 1006, 2012, 3521, 4024, 7042, 14084

Step-4: Factors of 28172

List of positive integer factors of 28172 that divides 28168 without a remainder.

1, 2, 4, 7043, 14086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28168 and 28172. The biggest common factor number is the GCF number.
So the greatest common factor 28168 and 28172 is 4.

Also check out the Least Common Multiple of 28168 and 28172