What is the Greatest Common Factor of 22434 and 22449?

Greatest common factor (GCF) of 22434 and 22449 is 3.

GCF(22434,22449) = 3

We will now calculate the prime factors of 22434 and 22449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22434 and 22449.

How to find the GCF of 22434 and 22449?

We will first find the prime factorization of 22434 and 22449. After we will calculate the factors of 22434 and 22449 and find the biggest common factor number .

Step-1: Prime Factorization of 22434

Prime factors of 22434 are 2, 3, 3739. Prime factorization of 22434 in exponential form is:

22434 = 2¹ × 3¹ × 3739¹

Step-2: Prime Factorization of 22449

Prime factors of 22449 are 3, 7, 1069. Prime factorization of 22449 in exponential form is:

22449 = 3¹ × 7¹ × 1069¹

Step-3: Factors of 22434

List of positive integer factors of 22434 that divides 22434 without a remainder.

1, 2, 3, 6, 3739, 7478, 11217

Step-4: Factors of 22449

List of positive integer factors of 22449 that divides 22434 without a remainder.

1, 3, 7, 21, 1069, 3207, 7483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22434 and 22449. The biggest common factor number is the GCF number.
So the greatest common factor 22434 and 22449 is 3.

Also check out the Least Common Multiple of 22434 and 22449