What is the Greatest Common Factor of 28164 and 28174?

Greatest common factor (GCF) of 28164 and 28174 is 2.

GCF(28164,28174) = 2

We will now calculate the prime factors of 28164 and 28174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28164 and 28174.

How to find the GCF of 28164 and 28174?

We will first find the prime factorization of 28164 and 28174. After we will calculate the factors of 28164 and 28174 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 28174

Prime factors of 28174 are 2, 14087. Prime factorization of 28174 in exponential form is:

28174 = 2¹ × 14087¹

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 28174

List of positive integer factors of 28174 that divides 28164 without a remainder.

1, 2, 14087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28164 and 28174. The biggest common factor number is the GCF number.
So the greatest common factor 28164 and 28174 is 2.

Also check out the Least Common Multiple of 28164 and 28174