What is the Greatest Common Factor of 22674 and 22688?

Greatest common factor (GCF) of 22674 and 22688 is 2.

GCF(22674,22688) = 2

We will now calculate the prime factors of 22674 and 22688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22674 and 22688.

How to find the GCF of 22674 and 22688?

We will first find the prime factorization of 22674 and 22688. After we will calculate the factors of 22674 and 22688 and find the biggest common factor number .

Step-1: Prime Factorization of 22674

Prime factors of 22674 are 2, 3, 3779. Prime factorization of 22674 in exponential form is:

22674 = 2¹ × 3¹ × 3779¹

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 22674

List of positive integer factors of 22674 that divides 22674 without a remainder.

1, 2, 3, 6, 3779, 7558, 11337

Step-4: Factors of 22688

List of positive integer factors of 22688 that divides 22674 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 22674 and 22688. The biggest common factor number is the GCF number.
So the greatest common factor 22674 and 22688 is 2.

Also check out the Least Common Multiple of 22674 and 22688