What is the Greatest Common Factor of 22398 and 22418?

Greatest common factor (GCF) of 22398 and 22418 is 2.

GCF(22398,22418) = 2

We will now calculate the prime factors of 22398 and 22418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22398 and 22418.

How to find the GCF of 22398 and 22418?

We will first find the prime factorization of 22398 and 22418. After we will calculate the factors of 22398 and 22418 and find the biggest common factor number .

Step-1: Prime Factorization of 22398

Prime factors of 22398 are 2, 3, 3733. Prime factorization of 22398 in exponential form is:

22398 = 2¹ × 3¹ × 3733¹

Step-2: Prime Factorization of 22418

Prime factors of 22418 are 2, 11, 1019. Prime factorization of 22418 in exponential form is:

22418 = 2¹ × 11¹ × 1019¹

Step-3: Factors of 22398

List of positive integer factors of 22398 that divides 22398 without a remainder.

1, 2, 3, 6, 3733, 7466, 11199

Step-4: Factors of 22418

List of positive integer factors of 22418 that divides 22398 without a remainder.

1, 2, 11, 22, 1019, 2038, 11209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22398 and 22418. The biggest common factor number is the GCF number.
So the greatest common factor 22398 and 22418 is 2.

Also check out the Least Common Multiple of 22398 and 22418