What is the Greatest Common Factor of 22338 and 22357?

Greatest common factor (GCF) of 22338 and 22357 is 1.

GCF(22338,22357) = 1

We will now calculate the prime factors of 22338 and 22357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22338 and 22357.

How to find the GCF of 22338 and 22357?

We will first find the prime factorization of 22338 and 22357. After we will calculate the factors of 22338 and 22357 and find the biggest common factor number .

Step-1: Prime Factorization of 22338

Prime factors of 22338 are 2, 3, 17, 73. Prime factorization of 22338 in exponential form is:

22338 = 2¹ × 3² × 17¹ × 73¹

Step-2: Prime Factorization of 22357

Prime factors of 22357 are 79, 283. Prime factorization of 22357 in exponential form is:

22357 = 79¹ × 283¹

Step-3: Factors of 22338

List of positive integer factors of 22338 that divides 22338 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 73, 102, 146, 153, 219, 306, 438, 657, 1241, 1314, 2482, 3723, 7446, 11169

Step-4: Factors of 22357

List of positive integer factors of 22357 that divides 22338 without a remainder.

1, 79, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22338 and 22357. The biggest common factor number is the GCF number.
So the greatest common factor 22338 and 22357 is 1.

Also check out the Least Common Multiple of 22338 and 22357