What is the Greatest Common Factor of 20966 and 20972?

Greatest common factor (GCF) of 20966 and 20972 is 2.

GCF(20966,20972) = 2

We will now calculate the prime factors of 20966 and 20972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20966 and 20972.

How to find the GCF of 20966 and 20972?

We will first find the prime factorization of 20966 and 20972. After we will calculate the factors of 20966 and 20972 and find the biggest common factor number .

Step-1: Prime Factorization of 20966

Prime factors of 20966 are 2, 11, 953. Prime factorization of 20966 in exponential form is:

20966 = 2¹ × 11¹ × 953¹

Step-2: 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-3: Factors of 20966

List of positive integer factors of 20966 that divides 20966 without a remainder.

1, 2, 11, 22, 953, 1906, 10483

Step-4: Factors of 20972

List of positive integer factors of 20972 that divides 20966 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20966 and 20972. The biggest common factor number is the GCF number.
So the greatest common factor 20966 and 20972 is 2.

Also check out the Least Common Multiple of 20966 and 20972