What is the Greatest Common Factor of 20658 and 20676?

Greatest common factor (GCF) of 20658 and 20676 is 6.

GCF(20658,20676) = 6

We will now calculate the prime factors of 20658 and 20676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20658 and 20676.

How to find the GCF of 20658 and 20676?

We will first find the prime factorization of 20658 and 20676. After we will calculate the factors of 20658 and 20676 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20676

Prime factors of 20676 are 2, 3, 1723. Prime factorization of 20676 in exponential form is:

20676 = 2² × 3¹ × 1723¹

Step-3: Factors of 20658

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

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

Step-4: Factors of 20676

List of positive integer factors of 20676 that divides 20658 without a remainder.

1, 2, 3, 4, 6, 12, 1723, 3446, 5169, 6892, 10338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20658 and 20676. The biggest common factor number is the GCF number.
So the greatest common factor 20658 and 20676 is 6.

Also check out the Least Common Multiple of 20658 and 20676