What is the Greatest Common Factor of 22672 and 22688?

Greatest common factor (GCF) of 22672 and 22688 is 16.

GCF(22672,22688) = 16

We will now calculate the prime factors of 22672 and 22688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22672 and 22688.

How to find the GCF of 22672 and 22688?

We will first find the prime factorization of 22672 and 22688. After we will calculate the factors of 22672 and 22688 and find the biggest common factor number .

Step-1: Prime Factorization of 22672

Prime factors of 22672 are 2, 13, 109. Prime factorization of 22672 in exponential form is:

22672 = 2⁴ × 13¹ × 109¹

Step-2: Prime Factorization of 22688

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

22688 = 2⁵ × 709¹

Step-3: Factors of 22672

List of positive integer factors of 22672 that divides 22672 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 109, 208, 218, 436, 872, 1417, 1744, 2834, 5668, 11336

Step-4: Factors of 22688

List of positive integer factors of 22688 that divides 22672 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22672 and 22688. The biggest common factor number is the GCF number.
So the greatest common factor 22672 and 22688 is 16.

Also check out the Least Common Multiple of 22672 and 22688