What is the Greatest Common Factor of 22317 and 22322?

Greatest common factor (GCF) of 22317 and 22322 is 1.

GCF(22317,22322) = 1

We will now calculate the prime factors of 22317 and 22322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22317 and 22322.

How to find the GCF of 22317 and 22322?

We will first find the prime factorization of 22317 and 22322. After we will calculate the factors of 22317 and 22322 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22322

Prime factors of 22322 are 2, 11161. Prime factorization of 22322 in exponential form is:

22322 = 2¹ × 11161¹

Step-3: Factors of 22317

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

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

Step-4: Factors of 22322

List of positive integer factors of 22322 that divides 22317 without a remainder.

1, 2, 11161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22317 and 22322. The biggest common factor number is the GCF number.
So the greatest common factor 22317 and 22322 is 1.

Also check out the Least Common Multiple of 22317 and 22322