What is the Greatest Common Factor of 20931 and 20951?

Greatest common factor (GCF) of 20931 and 20951 is 1.

GCF(20931,20951) = 1

We will now calculate the prime factors of 20931 and 20951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20931 and 20951.

How to find the GCF of 20931 and 20951?

We will first find the prime factorization of 20931 and 20951. After we will calculate the factors of 20931 and 20951 and find the biggest common factor number .

Step-1: Prime Factorization of 20931

Prime factors of 20931 are 3, 6977. Prime factorization of 20931 in exponential form is:

20931 = 3¹ × 6977¹

Step-2: Prime Factorization of 20951

Prime factors of 20951 are 7, 41, 73. Prime factorization of 20951 in exponential form is:

20951 = 7¹ × 41¹ × 73¹

Step-3: Factors of 20931

List of positive integer factors of 20931 that divides 20931 without a remainder.

1, 3, 6977

Step-4: Factors of 20951

List of positive integer factors of 20951 that divides 20931 without a remainder.

1, 7, 41, 73, 287, 511, 2993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20931 and 20951. The biggest common factor number is the GCF number.
So the greatest common factor 20931 and 20951 is 1.

Also check out the Least Common Multiple of 20931 and 20951