What is the Greatest Common Factor of 22596 and 22605?

Greatest common factor (GCF) of 22596 and 22605 is 3.

GCF(22596,22605) = 3

We will now calculate the prime factors of 22596 and 22605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22596 and 22605.

How to find the GCF of 22596 and 22605?

We will first find the prime factorization of 22596 and 22605. After we will calculate the factors of 22596 and 22605 and find the biggest common factor number .

Step-1: Prime Factorization of 22596

Prime factors of 22596 are 2, 3, 7, 269. Prime factorization of 22596 in exponential form is:

22596 = 2² × 3¹ × 7¹ × 269¹

Step-2: Prime Factorization of 22605

Prime factors of 22605 are 3, 5, 11, 137. Prime factorization of 22605 in exponential form is:

22605 = 3¹ × 5¹ × 11¹ × 137¹

Step-3: Factors of 22596

List of positive integer factors of 22596 that divides 22596 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 269, 538, 807, 1076, 1614, 1883, 3228, 3766, 5649, 7532, 11298

Step-4: Factors of 22605

List of positive integer factors of 22605 that divides 22596 without a remainder.

1, 3, 5, 11, 15, 33, 55, 137, 165, 411, 685, 1507, 2055, 4521, 7535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22596 and 22605. The biggest common factor number is the GCF number.
So the greatest common factor 22596 and 22605 is 3.

Also check out the Least Common Multiple of 22596 and 22605