What is the Greatest Common Factor of 20592 and 20604?

Greatest common factor (GCF) of 20592 and 20604 is 12.

GCF(20592,20604) = 12

We will now calculate the prime factors of 20592 and 20604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20592 and 20604.

How to find the GCF of 20592 and 20604?

We will first find the prime factorization of 20592 and 20604. After we will calculate the factors of 20592 and 20604 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 20604

Prime factors of 20604 are 2, 3, 17, 101. Prime factorization of 20604 in exponential form is:

20604 = 2² × 3¹ × 17¹ × 101¹

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 20604

List of positive integer factors of 20604 that divides 20592 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 101, 102, 202, 204, 303, 404, 606, 1212, 1717, 3434, 5151, 6868, 10302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20592 and 20604. The biggest common factor number is the GCF number.
So the greatest common factor 20592 and 20604 is 12.

Also check out the Least Common Multiple of 20592 and 20604