What is the Greatest Common Factor of 22382 and 22395?

Greatest common factor (GCF) of 22382 and 22395 is 1.

GCF(22382,22395) = 1

We will now calculate the prime factors of 22382 and 22395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22382 and 22395.

How to find the GCF of 22382 and 22395?

We will first find the prime factorization of 22382 and 22395. After we will calculate the factors of 22382 and 22395 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 22395

Prime factors of 22395 are 3, 5, 1493. Prime factorization of 22395 in exponential form is:

22395 = 3¹ × 5¹ × 1493¹

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 22395

List of positive integer factors of 22395 that divides 22382 without a remainder.

1, 3, 5, 15, 1493, 4479, 7465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22382 and 22395. The biggest common factor number is the GCF number.
So the greatest common factor 22382 and 22395 is 1.

Also check out the Least Common Multiple of 22382 and 22395