What is the Greatest Common Factor of 22688 and 22704?

Greatest common factor (GCF) of 22688 and 22704 is 16.

GCF(22688,22704) = 16

We will now calculate the prime factors of 22688 and 22704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22688 and 22704.

How to find the GCF of 22688 and 22704?

We will first find the prime factorization of 22688 and 22704. After we will calculate the factors of 22688 and 22704 and find the biggest common factor number .

Step-1: Prime Factorization of 22688

Prime factors of 22688 are 2, 709. Prime factorization of 22688 in exponential form is:

22688 = 2⁵ × 709¹

Step-2: 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-3: Factors of 22688

List of positive integer factors of 22688 that divides 22688 without a remainder.

1, 2, 4, 8, 16, 32, 709, 1418, 2836, 5672, 11344

Step-4: Factors of 22704

List of positive integer factors of 22704 that divides 22688 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22688 and 22704. The biggest common factor number is the GCF number.
So the greatest common factor 22688 and 22704 is 16.

Also check out the Least Common Multiple of 22688 and 22704