What is the Greatest Common Factor of 22317 and 22336?

Greatest common factor (GCF) of 22317 and 22336 is 1.

GCF(22317,22336) = 1

We will now calculate the prime factors of 22317 and 22336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22317 and 22336.

How to find the GCF of 22317 and 22336?

We will first find the prime factorization of 22317 and 22336. After we will calculate the factors of 22317 and 22336 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 22336

Prime factors of 22336 are 2, 349. Prime factorization of 22336 in exponential form is:

22336 = 2⁶ × 349¹

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 22336

List of positive integer factors of 22336 that divides 22317 without a remainder.

1, 2, 4, 8, 16, 32, 64, 349, 698, 1396, 2792, 5584, 11168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22317 and 22336. The biggest common factor number is the GCF number.
So the greatest common factor 22317 and 22336 is 1.

Also check out the Least Common Multiple of 22317 and 22336