What is the Greatest Common Factor of 22316 and 22329?

Greatest common factor (GCF) of 22316 and 22329 is 1.

GCF(22316,22329) = 1

We will now calculate the prime factors of 22316 and 22329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22316 and 22329.

How to find the GCF of 22316 and 22329?

We will first find the prime factorization of 22316 and 22329. After we will calculate the factors of 22316 and 22329 and find the biggest common factor number .

Step-1: Prime Factorization of 22316

Prime factors of 22316 are 2, 7, 797. Prime factorization of 22316 in exponential form is:

22316 = 2² × 7¹ × 797¹

Step-2: Prime Factorization of 22329

Prime factors of 22329 are 3, 827. Prime factorization of 22329 in exponential form is:

22329 = 3³ × 827¹

Step-3: Factors of 22316

List of positive integer factors of 22316 that divides 22316 without a remainder.

1, 2, 4, 7, 14, 28, 797, 1594, 3188, 5579, 11158

Step-4: Factors of 22329

List of positive integer factors of 22329 that divides 22316 without a remainder.

1, 3, 9, 27, 827, 2481, 7443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22316 and 22329. The biggest common factor number is the GCF number.
So the greatest common factor 22316 and 22329 is 1.

Also check out the Least Common Multiple of 22316 and 22329