What is the Greatest Common Factor of 20698 and 20706?

Greatest common factor (GCF) of 20698 and 20706 is 2.

GCF(20698,20706) = 2

We will now calculate the prime factors of 20698 and 20706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20698 and 20706.

How to find the GCF of 20698 and 20706?

We will first find the prime factorization of 20698 and 20706. After we will calculate the factors of 20698 and 20706 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20706

Prime factors of 20706 are 2, 3, 7, 17, 29. Prime factorization of 20706 in exponential form is:

20706 = 2¹ × 3¹ × 7¹ × 17¹ × 29¹

Step-3: Factors of 20698

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

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

Step-4: Factors of 20706

List of positive integer factors of 20706 that divides 20698 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 29, 34, 42, 51, 58, 87, 102, 119, 174, 203, 238, 357, 406, 493, 609, 714, 986, 1218, 1479, 2958, 3451, 6902, 10353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20698 and 20706. The biggest common factor number is the GCF number.
So the greatest common factor 20698 and 20706 is 2.

Also check out the Least Common Multiple of 20698 and 20706