What is the Greatest Common Factor of 27980 and 27994?

Greatest common factor (GCF) of 27980 and 27994 is 2.

GCF(27980,27994) = 2

We will now calculate the prime factors of 27980 and 27994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27980 and 27994.

How to find the GCF of 27980 and 27994?

We will first find the prime factorization of 27980 and 27994. After we will calculate the factors of 27980 and 27994 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 27994

Prime factors of 27994 are 2, 13997. Prime factorization of 27994 in exponential form is:

27994 = 2¹ × 13997¹

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 27994

List of positive integer factors of 27994 that divides 27980 without a remainder.

1, 2, 13997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27980 and 27994. The biggest common factor number is the GCF number.
So the greatest common factor 27980 and 27994 is 2.

Also check out the Least Common Multiple of 27980 and 27994