What is the Greatest Common Factor of 20577 and 20585?

Greatest common factor (GCF) of 20577 and 20585 is 1.

GCF(20577,20585) = 1

We will now calculate the prime factors of 20577 and 20585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20577 and 20585.

How to find the GCF of 20577 and 20585?

We will first find the prime factorization of 20577 and 20585. After we will calculate the factors of 20577 and 20585 and find the biggest common factor number .

Step-1: Prime Factorization of 20577

Prime factors of 20577 are 3, 19. Prime factorization of 20577 in exponential form is:

20577 = 3¹ × 19³

Step-2: Prime Factorization of 20585

Prime factors of 20585 are 5, 23, 179. Prime factorization of 20585 in exponential form is:

20585 = 5¹ × 23¹ × 179¹

Step-3: Factors of 20577

List of positive integer factors of 20577 that divides 20577 without a remainder.

1, 3, 19, 57, 361, 1083, 6859

Step-4: Factors of 20585

List of positive integer factors of 20585 that divides 20577 without a remainder.

1, 5, 23, 115, 179, 895, 4117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20577 and 20585. The biggest common factor number is the GCF number.
So the greatest common factor 20577 and 20585 is 1.

Also check out the Least Common Multiple of 20577 and 20585