What is the Greatest Common Factor of 20580 and 20595?

Greatest common factor (GCF) of 20580 and 20595 is 15.

GCF(20580,20595) = 15

We will now calculate the prime factors of 20580 and 20595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20580 and 20595.

How to find the GCF of 20580 and 20595?

We will first find the prime factorization of 20580 and 20595. After we will calculate the factors of 20580 and 20595 and find the biggest common factor number .

Step-1: Prime Factorization of 20580

Prime factors of 20580 are 2, 3, 5, 7. Prime factorization of 20580 in exponential form is:

20580 = 2² × 3¹ × 5¹ × 7³

Step-2: Prime Factorization of 20595

Prime factors of 20595 are 3, 5, 1373. Prime factorization of 20595 in exponential form is:

20595 = 3¹ × 5¹ × 1373¹

Step-3: Factors of 20580

List of positive integer factors of 20580 that divides 20580 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 343, 420, 490, 588, 686, 735, 980, 1029, 1372, 1470, 1715, 2058, 2940, 3430, 4116, 5145, 6860, 10290

Step-4: Factors of 20595

List of positive integer factors of 20595 that divides 20580 without a remainder.

1, 3, 5, 15, 1373, 4119, 6865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20580 and 20595. The biggest common factor number is the GCF number.
So the greatest common factor 20580 and 20595 is 15.

Also check out the Least Common Multiple of 20580 and 20595