What is the Greatest Common Factor of 27971 and 27976?

Greatest common factor (GCF) of 27971 and 27976 is 1.

GCF(27971,27976) = 1

We will now calculate the prime factors of 27971 and 27976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27971 and 27976.

How to find the GCF of 27971 and 27976?

We will first find the prime factorization of 27971 and 27976. After we will calculate the factors of 27971 and 27976 and find the biggest common factor number .

Step-1: Prime Factorization of 27971

Prime factors of 27971 are 83, 337. Prime factorization of 27971 in exponential form is:

27971 = 83¹ × 337¹

Step-2: Prime Factorization of 27976

Prime factors of 27976 are 2, 13, 269. Prime factorization of 27976 in exponential form is:

27976 = 2³ × 13¹ × 269¹

Step-3: Factors of 27971

List of positive integer factors of 27971 that divides 27971 without a remainder.

1, 83, 337

Step-4: Factors of 27976

List of positive integer factors of 27976 that divides 27971 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 269, 538, 1076, 2152, 3497, 6994, 13988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27971 and 27976. The biggest common factor number is the GCF number.
So the greatest common factor 27971 and 27976 is 1.

Also check out the Least Common Multiple of 27971 and 27976