What is the Greatest Common Factor of 20972 and 20979?

Greatest common factor (GCF) of 20972 and 20979 is 7.

GCF(20972,20979) = 7

We will now calculate the prime factors of 20972 and 20979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20972 and 20979.

How to find the GCF of 20972 and 20979?

We will first find the prime factorization of 20972 and 20979. After we will calculate the factors of 20972 and 20979 and find the biggest common factor number .

Step-1: Prime Factorization of 20972

Prime factors of 20972 are 2, 7, 107. Prime factorization of 20972 in exponential form is:

20972 = 2² × 7² × 107¹

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 20972

List of positive integer factors of 20972 that divides 20972 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 107, 196, 214, 428, 749, 1498, 2996, 5243, 10486

Step-4: Factors of 20979

List of positive integer factors of 20979 that divides 20972 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 20972 and 20979. The biggest common factor number is the GCF number.
So the greatest common factor 20972 and 20979 is 7.

Also check out the Least Common Multiple of 20972 and 20979