What is the Greatest Common Factor of 28154 and 28164?

Greatest common factor (GCF) of 28154 and 28164 is 2.

GCF(28154,28164) = 2

We will now calculate the prime factors of 28154 and 28164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28154 and 28164.

How to find the GCF of 28154 and 28164?

We will first find the prime factorization of 28154 and 28164. After we will calculate the factors of 28154 and 28164 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 28164

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

28164 = 2² × 3¹ × 2347¹

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 28164

List of positive integer factors of 28164 that divides 28154 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28154 and 28164. The biggest common factor number is the GCF number.
So the greatest common factor 28154 and 28164 is 2.

Also check out the Least Common Multiple of 28154 and 28164