What is the Greatest Common Factor of 20577 and 20592?

Greatest common factor (GCF) of 20577 and 20592 is 3.

GCF(20577,20592) = 3

We will now calculate the prime factors of 20577 and 20592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20577 and 20592.

How to find the GCF of 20577 and 20592?

We will first find the prime factorization of 20577 and 20592. After we will calculate the factors of 20577 and 20592 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 20592

Prime factors of 20592 are 2, 3, 11, 13. Prime factorization of 20592 in exponential form is:

20592 = 2⁴ × 3² × 11¹ × 13¹

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 20592

List of positive integer factors of 20592 that divides 20577 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 16, 18, 22, 24, 26, 33, 36, 39, 44, 48, 52, 66, 72, 78, 88, 99, 104, 117, 132, 143, 144, 156, 176, 198, 208, 234, 264, 286, 312, 396, 429, 468, 528, 572, 624, 792, 858, 936, 1144, 1287, 1584, 1716, 1872, 2288, 2574, 3432, 5148, 6864, 10296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20577 and 20592. The biggest common factor number is the GCF number.
So the greatest common factor 20577 and 20592 is 3.

Also check out the Least Common Multiple of 20577 and 20592