What is the Greatest Common Factor of 22382 and 22398?

Greatest common factor (GCF) of 22382 and 22398 is 2.

GCF(22382,22398) = 2

We will now calculate the prime factors of 22382 and 22398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22382 and 22398.

How to find the GCF of 22382 and 22398?

We will first find the prime factorization of 22382 and 22398. After we will calculate the factors of 22382 and 22398 and find the biggest common factor number .

Step-1: Prime Factorization of 22382

Prime factors of 22382 are 2, 19, 31. Prime factorization of 22382 in exponential form is:

22382 = 2¹ × 19² × 31¹

Step-2: 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-3: Factors of 22382

List of positive integer factors of 22382 that divides 22382 without a remainder.

1, 2, 19, 31, 38, 62, 361, 589, 722, 1178, 11191

Step-4: Factors of 22398

List of positive integer factors of 22398 that divides 22382 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22382 and 22398. The biggest common factor number is the GCF number.
So the greatest common factor 22382 and 22398 is 2.

Also check out the Least Common Multiple of 22382 and 22398