What is the Greatest Common Factor of 22659 and 22672?

Greatest common factor (GCF) of 22659 and 22672 is 13.

GCF(22659,22672) = 13

We will now calculate the prime factors of 22659 and 22672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22659 and 22672.

How to find the GCF of 22659 and 22672?

We will first find the prime factorization of 22659 and 22672. After we will calculate the factors of 22659 and 22672 and find the biggest common factor number .

Step-1: Prime Factorization of 22659

Prime factors of 22659 are 3, 7, 13, 83. Prime factorization of 22659 in exponential form is:

22659 = 3¹ × 7¹ × 13¹ × 83¹

Step-2: 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-3: Factors of 22659

List of positive integer factors of 22659 that divides 22659 without a remainder.

1, 3, 7, 13, 21, 39, 83, 91, 249, 273, 581, 1079, 1743, 3237, 7553

Step-4: Factors of 22672

List of positive integer factors of 22672 that divides 22659 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22659 and 22672. The biggest common factor number is the GCF number.
So the greatest common factor 22659 and 22672 is 13.

Also check out the Least Common Multiple of 22659 and 22672