What is the Greatest Common Factor of 22704 and 22715?

Greatest common factor (GCF) of 22704 and 22715 is 11.

GCF(22704,22715) = 11

We will now calculate the prime factors of 22704 and 22715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22704 and 22715.

How to find the GCF of 22704 and 22715?

We will first find the prime factorization of 22704 and 22715. After we will calculate the factors of 22704 and 22715 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 22715

Prime factors of 22715 are 5, 7, 11, 59. Prime factorization of 22715 in exponential form is:

22715 = 5¹ × 7¹ × 11¹ × 59¹

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 22715

List of positive integer factors of 22715 that divides 22704 without a remainder.

1, 5, 7, 11, 35, 55, 59, 77, 295, 385, 413, 649, 2065, 3245, 4543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22704 and 22715. The biggest common factor number is the GCF number.
So the greatest common factor 22704 and 22715 is 11.

Also check out the Least Common Multiple of 22704 and 22715