What is the Greatest Common Factor of 20580 and 20589?

Greatest common factor (GCF) of 20580 and 20589 is 3.

GCF(20580,20589) = 3

We will now calculate the prime factors of 20580 and 20589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20580 and 20589.

How to find the GCF of 20580 and 20589?

We will first find the prime factorization of 20580 and 20589. After we will calculate the factors of 20580 and 20589 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 20589

Prime factors of 20589 are 3, 6863. Prime factorization of 20589 in exponential form is:

20589 = 3¹ × 6863¹

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 20589

List of positive integer factors of 20589 that divides 20580 without a remainder.

1, 3, 6863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20580 and 20589. The biggest common factor number is the GCF number.
So the greatest common factor 20580 and 20589 is 3.

Also check out the Least Common Multiple of 20580 and 20589