What is the Greatest Common Factor of 22299 and 22314?

Greatest common factor (GCF) of 22299 and 22314 is 3.

GCF(22299,22314) = 3

We will now calculate the prime factors of 22299 and 22314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22299 and 22314.

How to find the GCF of 22299 and 22314?

We will first find the prime factorization of 22299 and 22314. After we will calculate the factors of 22299 and 22314 and find the biggest common factor number .

Step-1: Prime Factorization of 22299

Prime factors of 22299 are 3, 7433. Prime factorization of 22299 in exponential form is:

22299 = 3¹ × 7433¹

Step-2: Prime Factorization of 22314

Prime factors of 22314 are 2, 3, 3719. Prime factorization of 22314 in exponential form is:

22314 = 2¹ × 3¹ × 3719¹

Step-3: Factors of 22299

List of positive integer factors of 22299 that divides 22299 without a remainder.

1, 3, 7433

Step-4: Factors of 22314

List of positive integer factors of 22314 that divides 22299 without a remainder.

1, 2, 3, 6, 3719, 7438, 11157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22299 and 22314. The biggest common factor number is the GCF number.
So the greatest common factor 22299 and 22314 is 3.

Also check out the Least Common Multiple of 22299 and 22314