What is the Greatest Common Factor of 20655 and 20670?

Greatest common factor (GCF) of 20655 and 20670 is 15.

GCF(20655,20670) = 15

We will now calculate the prime factors of 20655 and 20670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20655 and 20670.

How to find the GCF of 20655 and 20670?

We will first find the prime factorization of 20655 and 20670. After we will calculate the factors of 20655 and 20670 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 20670

Prime factors of 20670 are 2, 3, 5, 13, 53. Prime factorization of 20670 in exponential form is:

20670 = 2¹ × 3¹ × 5¹ × 13¹ × 53¹

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 20670

List of positive integer factors of 20670 that divides 20655 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 53, 65, 78, 106, 130, 159, 195, 265, 318, 390, 530, 689, 795, 1378, 1590, 2067, 3445, 4134, 6890, 10335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20655 and 20670. The biggest common factor number is the GCF number.
So the greatest common factor 20655 and 20670 is 15.

Also check out the Least Common Multiple of 20655 and 20670