What is the Greatest Common Factor of 20691 and 20697?

Greatest common factor (GCF) of 20691 and 20697 is 3.

GCF(20691,20697) = 3

We will now calculate the prime factors of 20691 and 20697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20691 and 20697.

How to find the GCF of 20691 and 20697?

We will first find the prime factorization of 20691 and 20697. After we will calculate the factors of 20691 and 20697 and find the biggest common factor number .

Step-1: Prime Factorization of 20691

Prime factors of 20691 are 3, 11, 19. Prime factorization of 20691 in exponential form is:

20691 = 3² × 11² × 19¹

Step-2: Prime Factorization of 20697

Prime factors of 20697 are 3, 6899. Prime factorization of 20697 in exponential form is:

20697 = 3¹ × 6899¹

Step-3: Factors of 20691

List of positive integer factors of 20691 that divides 20691 without a remainder.

1, 3, 9, 11, 19, 33, 57, 99, 121, 171, 209, 363, 627, 1089, 1881, 2299, 6897

Step-4: Factors of 20697

List of positive integer factors of 20697 that divides 20691 without a remainder.

1, 3, 6899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20691 and 20697. The biggest common factor number is the GCF number.
So the greatest common factor 20691 and 20697 is 3.

Also check out the Least Common Multiple of 20691 and 20697