What is the Greatest Common Factor of 21971 and 21979?

Greatest common factor (GCF) of 21971 and 21979 is 1.

GCF(21971,21979) = 1

We will now calculate the prime factors of 21971 and 21979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21971 and 21979.

How to find the GCF of 21971 and 21979?

We will first find the prime factorization of 21971 and 21979. After we will calculate the factors of 21971 and 21979 and find the biggest common factor number .

Step-1: Prime Factorization of 21971

Prime factors of 21971 are 127, 173. Prime factorization of 21971 in exponential form is:

21971 = 127¹ × 173¹

Step-2: Prime Factorization of 21979

Prime factors of 21979 are 31, 709. Prime factorization of 21979 in exponential form is:

21979 = 31¹ × 709¹

Step-3: Factors of 21971

List of positive integer factors of 21971 that divides 21971 without a remainder.

1, 127, 173

Step-4: Factors of 21979

List of positive integer factors of 21979 that divides 21971 without a remainder.

1, 31, 709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21971 and 21979. The biggest common factor number is the GCF number.
So the greatest common factor 21971 and 21979 is 1.

Also check out the Least Common Multiple of 21971 and 21979