What is the Greatest Common Factor of 20649 and 20655?

Greatest common factor (GCF) of 20649 and 20655 is 3.

GCF(20649,20655) = 3

We will now calculate the prime factors of 20649 and 20655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20649 and 20655.

How to find the GCF of 20649 and 20655?

We will first find the prime factorization of 20649 and 20655. After we will calculate the factors of 20649 and 20655 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 20655

Prime factors of 20655 are 3, 5, 17. Prime factorization of 20655 in exponential form is:

20655 = 3⁵ × 5¹ × 17¹

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 20655

List of positive integer factors of 20655 that divides 20649 without a remainder.

1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 243, 255, 405, 459, 765, 1215, 1377, 2295, 4131, 6885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20649 and 20655. The biggest common factor number is the GCF number.
So the greatest common factor 20649 and 20655 is 3.

Also check out the Least Common Multiple of 20649 and 20655