What is the Greatest Common Factor of 20689 and 20698?

Greatest common factor (GCF) of 20689 and 20698 is 1.

GCF(20689,20698) = 1

We will now calculate the prime factors of 20689 and 20698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20689 and 20698.

How to find the GCF of 20689 and 20698?

We will first find the prime factorization of 20689 and 20698. After we will calculate the factors of 20689 and 20698 and find the biggest common factor number .

Step-1: Prime Factorization of 20689

Prime factors of 20689 are 17, 1217. Prime factorization of 20689 in exponential form is:

20689 = 17¹ × 1217¹

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 20689

List of positive integer factors of 20689 that divides 20689 without a remainder.

1, 17, 1217

Step-4: Factors of 20698

List of positive integer factors of 20698 that divides 20689 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20689 and 20698. The biggest common factor number is the GCF number.
So the greatest common factor 20689 and 20698 is 1.

Also check out the Least Common Multiple of 20689 and 20698