What is the Greatest Common Factor of 27948 and 27964?

Greatest common factor (GCF) of 27948 and 27964 is 4.

GCF(27948,27964) = 4

We will now calculate the prime factors of 27948 and 27964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27948 and 27964.

How to find the GCF of 27948 and 27964?

We will first find the prime factorization of 27948 and 27964. After we will calculate the factors of 27948 and 27964 and find the biggest common factor number .

Step-1: Prime Factorization of 27948

Prime factors of 27948 are 2, 3, 17, 137. Prime factorization of 27948 in exponential form is:

27948 = 2² × 3¹ × 17¹ × 137¹

Step-2: Prime Factorization of 27964

Prime factors of 27964 are 2, 6991. Prime factorization of 27964 in exponential form is:

27964 = 2² × 6991¹

Step-3: Factors of 27948

List of positive integer factors of 27948 that divides 27948 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 137, 204, 274, 411, 548, 822, 1644, 2329, 4658, 6987, 9316, 13974

Step-4: Factors of 27964

List of positive integer factors of 27964 that divides 27948 without a remainder.

1, 2, 4, 6991, 13982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27948 and 27964. The biggest common factor number is the GCF number.
So the greatest common factor 27948 and 27964 is 4.

Also check out the Least Common Multiple of 27948 and 27964