What is the Greatest Common Factor of 27980 and 27992?

Greatest common factor (GCF) of 27980 and 27992 is 4.

GCF(27980,27992) = 4

We will now calculate the prime factors of 27980 and 27992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27980 and 27992.

How to find the GCF of 27980 and 27992?

We will first find the prime factorization of 27980 and 27992. After we will calculate the factors of 27980 and 27992 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 27992

Prime factors of 27992 are 2, 3499. Prime factorization of 27992 in exponential form is:

27992 = 2³ × 3499¹

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 27992

List of positive integer factors of 27992 that divides 27980 without a remainder.

1, 2, 4, 8, 3499, 6998, 13996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27980 and 27992. The biggest common factor number is the GCF number.
So the greatest common factor 27980 and 27992 is 4.

Also check out the Least Common Multiple of 27980 and 27992