What is the Greatest Common Factor of 28154 and 28168?

Greatest common factor (GCF) of 28154 and 28168 is 14.

GCF(28154,28168) = 14

We will now calculate the prime factors of 28154 and 28168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28154 and 28168.

How to find the GCF of 28154 and 28168?

We will first find the prime factorization of 28154 and 28168. After we will calculate the factors of 28154 and 28168 and find the biggest common factor number .

Step-1: Prime Factorization of 28154

Prime factors of 28154 are 2, 7, 2011. Prime factorization of 28154 in exponential form is:

28154 = 2¹ × 7¹ × 2011¹

Step-2: 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-3: Factors of 28154

List of positive integer factors of 28154 that divides 28154 without a remainder.

1, 2, 7, 14, 2011, 4022, 14077

Step-4: Factors of 28168

List of positive integer factors of 28168 that divides 28154 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28154 and 28168. The biggest common factor number is the GCF number.
So the greatest common factor 28154 and 28168 is 14.

Also check out the Least Common Multiple of 28154 and 28168