What is the Greatest Common Factor of 27980 and 27996?

Greatest common factor (GCF) of 27980 and 27996 is 4.

GCF(27980,27996) = 4

We will now calculate the prime factors of 27980 and 27996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27980 and 27996.

How to find the GCF of 27980 and 27996?

We will first find the prime factorization of 27980 and 27996. After we will calculate the factors of 27980 and 27996 and find the biggest common factor number .

Step-1: Prime Factorization of 27980

Prime factors of 27980 are 2, 5, 1399. Prime factorization of 27980 in exponential form is:

27980 = 2² × 5¹ × 1399¹

Step-2: Prime Factorization of 27996

Prime factors of 27996 are 2, 3, 2333. Prime factorization of 27996 in exponential form is:

27996 = 2² × 3¹ × 2333¹

Step-3: Factors of 27980

List of positive integer factors of 27980 that divides 27980 without a remainder.

1, 2, 4, 5, 10, 20, 1399, 2798, 5596, 6995, 13990

Step-4: Factors of 27996

List of positive integer factors of 27996 that divides 27980 without a remainder.

1, 2, 3, 4, 6, 12, 2333, 4666, 6999, 9332, 13998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27980 and 27996. The biggest common factor number is the GCF number.
So the greatest common factor 27980 and 27996 is 4.

Also check out the Least Common Multiple of 27980 and 27996