What is the Greatest Common Factor of 27974 and 27979?

Greatest common factor (GCF) of 27974 and 27979 is 1.

GCF(27974,27979) = 1

We will now calculate the prime factors of 27974 and 27979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27974 and 27979.

How to find the GCF of 27974 and 27979?

We will first find the prime factorization of 27974 and 27979. After we will calculate the factors of 27974 and 27979 and find the biggest common factor number .

Step-1: Prime Factorization of 27974

Prime factors of 27974 are 2, 71, 197. Prime factorization of 27974 in exponential form is:

27974 = 2¹ × 71¹ × 197¹

Step-2: Prime Factorization of 27979

Prime factors of 27979 are 7, 571. Prime factorization of 27979 in exponential form is:

27979 = 7² × 571¹

Step-3: Factors of 27974

List of positive integer factors of 27974 that divides 27974 without a remainder.

1, 2, 71, 142, 197, 394, 13987

Step-4: Factors of 27979

List of positive integer factors of 27979 that divides 27974 without a remainder.

1, 7, 49, 571, 3997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27974 and 27979. The biggest common factor number is the GCF number.
So the greatest common factor 27974 and 27979 is 1.

Also check out the Least Common Multiple of 27974 and 27979