What is the Greatest Common Factor of 22449 and 22463?

Greatest common factor (GCF) of 22449 and 22463 is 7.

GCF(22449,22463) = 7

We will now calculate the prime factors of 22449 and 22463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22449 and 22463.

How to find the GCF of 22449 and 22463?

We will first find the prime factorization of 22449 and 22463. After we will calculate the factors of 22449 and 22463 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22463

Prime factors of 22463 are 7, 3209. Prime factorization of 22463 in exponential form is:

22463 = 7¹ × 3209¹

Step-3: Factors of 22449

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

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

Step-4: Factors of 22463

List of positive integer factors of 22463 that divides 22449 without a remainder.

1, 7, 3209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22449 and 22463. The biggest common factor number is the GCF number.
So the greatest common factor 22449 and 22463 is 7.

Also check out the Least Common Multiple of 22449 and 22463