What is the Greatest Common Factor of 22305 and 22323?

Greatest common factor (GCF) of 22305 and 22323 is 3.

GCF(22305,22323) = 3

We will now calculate the prime factors of 22305 and 22323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22305 and 22323.

How to find the GCF of 22305 and 22323?

We will first find the prime factorization of 22305 and 22323. After we will calculate the factors of 22305 and 22323 and find the biggest common factor number .

Step-1: Prime Factorization of 22305

Prime factors of 22305 are 3, 5, 1487. Prime factorization of 22305 in exponential form is:

22305 = 3¹ × 5¹ × 1487¹

Step-2: Prime Factorization of 22323

Prime factors of 22323 are 3, 7, 1063. Prime factorization of 22323 in exponential form is:

22323 = 3¹ × 7¹ × 1063¹

Step-3: Factors of 22305

List of positive integer factors of 22305 that divides 22305 without a remainder.

1, 3, 5, 15, 1487, 4461, 7435

Step-4: Factors of 22323

List of positive integer factors of 22323 that divides 22305 without a remainder.

1, 3, 7, 21, 1063, 3189, 7441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22305 and 22323. The biggest common factor number is the GCF number.
So the greatest common factor 22305 and 22323 is 3.

Also check out the Least Common Multiple of 22305 and 22323