What is the Greatest Common Factor of 28164 and 28181?

Greatest common factor (GCF) of 28164 and 28181 is 1.

GCF(28164,28181) = 1

We will now calculate the prime factors of 28164 and 28181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28164 and 28181.

How to find the GCF of 28164 and 28181?

We will first find the prime factorization of 28164 and 28181. After we will calculate the factors of 28164 and 28181 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 28181

Prime factors of 28181 are 28181. Prime factorization of 28181 in exponential form is:

28181 = 28181¹

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 28181

List of positive integer factors of 28181 that divides 28164 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28164 and 28181. The biggest common factor number is the GCF number.
So the greatest common factor 28164 and 28181 is 1.

Also check out the Least Common Multiple of 28164 and 28181