What is the Greatest Common Factor of 20971 and 20979?

Greatest common factor (GCF) of 20971 and 20979 is 1.

GCF(20971,20979) = 1

We will now calculate the prime factors of 20971 and 20979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20971 and 20979.

How to find the GCF of 20971 and 20979?

We will first find the prime factorization of 20971 and 20979. After we will calculate the factors of 20971 and 20979 and find the biggest common factor number .

Step-1: Prime Factorization of 20971

Prime factors of 20971 are 67, 313. Prime factorization of 20971 in exponential form is:

20971 = 67¹ × 313¹

Step-2: Prime Factorization of 20979

Prime factors of 20979 are 3, 7, 37. Prime factorization of 20979 in exponential form is:

20979 = 3⁴ × 7¹ × 37¹

Step-3: Factors of 20971

List of positive integer factors of 20971 that divides 20971 without a remainder.

1, 67, 313

Step-4: Factors of 20979

List of positive integer factors of 20979 that divides 20971 without a remainder.

1, 3, 7, 9, 21, 27, 37, 63, 81, 111, 189, 259, 333, 567, 777, 999, 2331, 2997, 6993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20971 and 20979. The biggest common factor number is the GCF number.
So the greatest common factor 20971 and 20979 is 1.

Also check out the Least Common Multiple of 20971 and 20979