What is the Greatest Common Factor of 22672 and 22684?

Greatest common factor (GCF) of 22672 and 22684 is 4.

GCF(22672,22684) = 4

We will now calculate the prime factors of 22672 and 22684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22672 and 22684.

How to find the GCF of 22672 and 22684?

We will first find the prime factorization of 22672 and 22684. After we will calculate the factors of 22672 and 22684 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 22684

Prime factors of 22684 are 2, 53, 107. Prime factorization of 22684 in exponential form is:

22684 = 2² × 53¹ × 107¹

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 22684

List of positive integer factors of 22684 that divides 22672 without a remainder.

1, 2, 4, 53, 106, 107, 212, 214, 428, 5671, 11342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22672 and 22684. The biggest common factor number is the GCF number.
So the greatest common factor 22672 and 22684 is 4.

Also check out the Least Common Multiple of 22672 and 22684