What is the Greatest Common Factor of 20972 and 20986?

Greatest common factor (GCF) of 20972 and 20986 is 14.

GCF(20972,20986) = 14

We will now calculate the prime factors of 20972 and 20986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20972 and 20986.

How to find the GCF of 20972 and 20986?

We will first find the prime factorization of 20972 and 20986. After we will calculate the factors of 20972 and 20986 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 20986

Prime factors of 20986 are 2, 7, 1499. Prime factorization of 20986 in exponential form is:

20986 = 2¹ × 7¹ × 1499¹

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 20986

List of positive integer factors of 20986 that divides 20972 without a remainder.

1, 2, 7, 14, 1499, 2998, 10493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20972 and 20986. The biggest common factor number is the GCF number.
So the greatest common factor 20972 and 20986 is 14.

Also check out the Least Common Multiple of 20972 and 20986