What is the Greatest Common Factor of 27567 and 27579?

Greatest common factor (GCF) of 27567 and 27579 is 3.

GCF(27567,27579) = 3

We will now calculate the prime factors of 27567 and 27579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27567 and 27579.

How to find the GCF of 27567 and 27579?

We will first find the prime factorization of 27567 and 27579. After we will calculate the factors of 27567 and 27579 and find the biggest common factor number .

Step-1: Prime Factorization of 27567

Prime factors of 27567 are 3, 1021. Prime factorization of 27567 in exponential form is:

27567 = 3³ × 1021¹

Step-2: Prime Factorization of 27579

Prime factors of 27579 are 3, 29, 317. Prime factorization of 27579 in exponential form is:

27579 = 3¹ × 29¹ × 317¹

Step-3: Factors of 27567

List of positive integer factors of 27567 that divides 27567 without a remainder.

1, 3, 9, 27, 1021, 3063, 9189

Step-4: Factors of 27579

List of positive integer factors of 27579 that divides 27567 without a remainder.

1, 3, 29, 87, 317, 951, 9193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27567 and 27579. The biggest common factor number is the GCF number.
So the greatest common factor 27567 and 27579 is 3.

Also check out the Least Common Multiple of 27567 and 27579