What is the Greatest Common Factor of 27879 and 27894?

Greatest common factor (GCF) of 27879 and 27894 is 3.

GCF(27879,27894) = 3

We will now calculate the prime factors of 27879 and 27894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27879 and 27894.

How to find the GCF of 27879 and 27894?

We will first find the prime factorization of 27879 and 27894. After we will calculate the factors of 27879 and 27894 and find the biggest common factor number .

Step-1: Prime Factorization of 27879

Prime factors of 27879 are 3, 9293. Prime factorization of 27879 in exponential form is:

27879 = 3¹ × 9293¹

Step-2: Prime Factorization of 27894

Prime factors of 27894 are 2, 3, 4649. Prime factorization of 27894 in exponential form is:

27894 = 2¹ × 3¹ × 4649¹

Step-3: Factors of 27879

List of positive integer factors of 27879 that divides 27879 without a remainder.

1, 3, 9293

Step-4: Factors of 27894

List of positive integer factors of 27894 that divides 27879 without a remainder.

1, 2, 3, 6, 4649, 9298, 13947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27879 and 27894. The biggest common factor number is the GCF number.
So the greatest common factor 27879 and 27894 is 3.

Also check out the Least Common Multiple of 27879 and 27894