What is the Greatest Common Factor of 20667 and 20676?

Greatest common factor (GCF) of 20667 and 20676 is 3.

GCF(20667,20676) = 3

We will now calculate the prime factors of 20667 and 20676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20667 and 20676.

How to find the GCF of 20667 and 20676?

We will first find the prime factorization of 20667 and 20676. After we will calculate the factors of 20667 and 20676 and find the biggest common factor number .

Step-1: Prime Factorization of 20667

Prime factors of 20667 are 3, 83. Prime factorization of 20667 in exponential form is:

20667 = 3¹ × 83²

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 20667

List of positive integer factors of 20667 that divides 20667 without a remainder.

1, 3, 83, 249, 6889

Step-4: Factors of 20676

List of positive integer factors of 20676 that divides 20667 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 20667 and 20676. The biggest common factor number is the GCF number.
So the greatest common factor 20667 and 20676 is 3.

Also check out the Least Common Multiple of 20667 and 20676