What is the Greatest Common Factor of 20639 and 20658?

Greatest common factor (GCF) of 20639 and 20658 is 1.

GCF(20639,20658) = 1

We will now calculate the prime factors of 20639 and 20658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20639 and 20658.

How to find the GCF of 20639 and 20658?

We will first find the prime factorization of 20639 and 20658. After we will calculate the factors of 20639 and 20658 and find the biggest common factor number .

Step-1: Prime Factorization of 20639

Prime factors of 20639 are 20639. Prime factorization of 20639 in exponential form is:

20639 = 20639¹

Step-2: Prime Factorization of 20658

Prime factors of 20658 are 2, 3, 11, 313. Prime factorization of 20658 in exponential form is:

20658 = 2¹ × 3¹ × 11¹ × 313¹

Step-3: Factors of 20639

List of positive integer factors of 20639 that divides 20639 without a remainder.

Step-4: Factors of 20658

List of positive integer factors of 20658 that divides 20639 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 313, 626, 939, 1878, 3443, 6886, 10329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20639 and 20658. The biggest common factor number is the GCF number.
So the greatest common factor 20639 and 20658 is 1.

Also check out the Least Common Multiple of 20639 and 20658