What is the Greatest Common Factor of 22605 and 22614?

Greatest common factor (GCF) of 22605 and 22614 is 3.

GCF(22605,22614) = 3

We will now calculate the prime factors of 22605 and 22614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22605 and 22614.

How to find the GCF of 22605 and 22614?

We will first find the prime factorization of 22605 and 22614. After we will calculate the factors of 22605 and 22614 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22614

Prime factors of 22614 are 2, 3, 3769. Prime factorization of 22614 in exponential form is:

22614 = 2¹ × 3¹ × 3769¹

Step-3: Factors of 22605

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

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

Step-4: Factors of 22614

List of positive integer factors of 22614 that divides 22605 without a remainder.

1, 2, 3, 6, 3769, 7538, 11307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22605 and 22614. The biggest common factor number is the GCF number.
So the greatest common factor 22605 and 22614 is 3.

Also check out the Least Common Multiple of 22605 and 22614