What is the Greatest Common Factor of 20678 and 20698?

Greatest common factor (GCF) of 20678 and 20698 is 2.

GCF(20678,20698) = 2

We will now calculate the prime factors of 20678 and 20698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20678 and 20698.

How to find the GCF of 20678 and 20698?

We will first find the prime factorization of 20678 and 20698. After we will calculate the factors of 20678 and 20698 and find the biggest common factor number .

Step-1: Prime Factorization of 20678

Prime factors of 20678 are 2, 7, 211. Prime factorization of 20678 in exponential form is:

20678 = 2¹ × 7² × 211¹

Step-2: Prime Factorization of 20698

Prime factors of 20698 are 2, 79, 131. Prime factorization of 20698 in exponential form is:

20698 = 2¹ × 79¹ × 131¹

Step-3: Factors of 20678

List of positive integer factors of 20678 that divides 20678 without a remainder.

1, 2, 7, 14, 49, 98, 211, 422, 1477, 2954, 10339

Step-4: Factors of 20698

List of positive integer factors of 20698 that divides 20678 without a remainder.

1, 2, 79, 131, 158, 262, 10349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20678 and 20698. The biggest common factor number is the GCF number.
So the greatest common factor 20678 and 20698 is 2.

Also check out the Least Common Multiple of 20678 and 20698