What is the Greatest Common Factor of 20972 and 20983?

Greatest common factor (GCF) of 20972 and 20983 is 1.

GCF(20972,20983) = 1

We will now calculate the prime factors of 20972 and 20983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20972 and 20983.

How to find the GCF of 20972 and 20983?

We will first find the prime factorization of 20972 and 20983. After we will calculate the factors of 20972 and 20983 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 20983

Prime factors of 20983 are 20983. Prime factorization of 20983 in exponential form is:

20983 = 20983¹

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 20983

List of positive integer factors of 20983 that divides 20972 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20972 and 20983. The biggest common factor number is the GCF number.
So the greatest common factor 20972 and 20983 is 1.

Also check out the Least Common Multiple of 20972 and 20983