What is the Greatest Common Factor of 22305 and 22317?

Greatest common factor (GCF) of 22305 and 22317 is 3.

GCF(22305,22317) = 3

We will now calculate the prime factors of 22305 and 22317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22305 and 22317.

How to find the GCF of 22305 and 22317?

We will first find the prime factorization of 22305 and 22317. After we will calculate the factors of 22305 and 22317 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 22317

Prime factors of 22317 are 3, 43, 173. Prime factorization of 22317 in exponential form is:

22317 = 3¹ × 43¹ × 173¹

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 22317

List of positive integer factors of 22317 that divides 22305 without a remainder.

1, 3, 43, 129, 173, 519, 7439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22305 and 22317. The biggest common factor number is the GCF number.
So the greatest common factor 22305 and 22317 is 3.

Also check out the Least Common Multiple of 22305 and 22317