What is the Greatest Common Factor of 20592 and 20601?

Greatest common factor (GCF) of 20592 and 20601 is 9.

GCF(20592,20601) = 9

We will now calculate the prime factors of 20592 and 20601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20592 and 20601.

How to find the GCF of 20592 and 20601?

We will first find the prime factorization of 20592 and 20601. After we will calculate the factors of 20592 and 20601 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20601

Prime factors of 20601 are 3, 7, 109. Prime factorization of 20601 in exponential form is:

20601 = 3³ × 7¹ × 109¹

Step-3: Factors of 20592

List of positive integer factors of 20592 that divides 20592 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

Step-4: Factors of 20601

List of positive integer factors of 20601 that divides 20592 without a remainder.

1, 3, 7, 9, 21, 27, 63, 109, 189, 327, 763, 981, 2289, 2943, 6867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20592 and 20601. The biggest common factor number is the GCF number.
So the greatest common factor 20592 and 20601 is 9.

Also check out the Least Common Multiple of 20592 and 20601