What is the Greatest Common Factor of 20655 and 20665?

Greatest common factor (GCF) of 20655 and 20665 is 5.

GCF(20655,20665) = 5

We will now calculate the prime factors of 20655 and 20665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20655 and 20665.

How to find the GCF of 20655 and 20665?

We will first find the prime factorization of 20655 and 20665. After we will calculate the factors of 20655 and 20665 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20665

Prime factors of 20665 are 5, 4133. Prime factorization of 20665 in exponential form is:

20665 = 5¹ × 4133¹

Step-3: Factors of 20655

List of positive integer factors of 20655 that divides 20655 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

Step-4: Factors of 20665

List of positive integer factors of 20665 that divides 20655 without a remainder.

1, 5, 4133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20655 and 20665. The biggest common factor number is the GCF number.
So the greatest common factor 20655 and 20665 is 5.

Also check out the Least Common Multiple of 20655 and 20665