What is the Greatest Common Factor of 20649 and 20667?

Greatest common factor (GCF) of 20649 and 20667 is 3.

GCF(20649,20667) = 3

We will now calculate the prime factors of 20649 and 20667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20649 and 20667.

How to find the GCF of 20649 and 20667?

We will first find the prime factorization of 20649 and 20667. After we will calculate the factors of 20649 and 20667 and find the biggest common factor number .

Step-1: Prime Factorization of 20649

Prime factors of 20649 are 3, 6883. Prime factorization of 20649 in exponential form is:

20649 = 3¹ × 6883¹

Step-2: Prime Factorization of 20667

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

20667 = 3¹ × 83²

Step-3: Factors of 20649

List of positive integer factors of 20649 that divides 20649 without a remainder.

1, 3, 6883

Step-4: Factors of 20667

List of positive integer factors of 20667 that divides 20649 without a remainder.

1, 3, 83, 249, 6889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20649 and 20667. The biggest common factor number is the GCF number.
So the greatest common factor 20649 and 20667 is 3.

Also check out the Least Common Multiple of 20649 and 20667