What is the Greatest Common Factor of 22704 and 22717?

Greatest common factor (GCF) of 22704 and 22717 is 1.

GCF(22704,22717) = 1

We will now calculate the prime factors of 22704 and 22717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22704 and 22717.

How to find the GCF of 22704 and 22717?

We will first find the prime factorization of 22704 and 22717. After we will calculate the factors of 22704 and 22717 and find the biggest common factor number .

Step-1: Prime Factorization of 22704

Prime factors of 22704 are 2, 3, 11, 43. Prime factorization of 22704 in exponential form is:

22704 = 2⁴ × 3¹ × 11¹ × 43¹

Step-2: Prime Factorization of 22717

Prime factors of 22717 are 22717. Prime factorization of 22717 in exponential form is:

22717 = 22717¹

Step-3: Factors of 22704

List of positive integer factors of 22704 that divides 22704 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 43, 44, 48, 66, 86, 88, 129, 132, 172, 176, 258, 264, 344, 473, 516, 528, 688, 946, 1032, 1419, 1892, 2064, 2838, 3784, 5676, 7568, 11352

Step-4: Factors of 22717

List of positive integer factors of 22717 that divides 22704 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22704 and 22717. The biggest common factor number is the GCF number.
So the greatest common factor 22704 and 22717 is 1.

Also check out the Least Common Multiple of 22704 and 22717