What is the Greatest Common Factor of 23382 and 23390?

Greatest common factor (GCF) of 23382 and 23390 is 2.

GCF(23382,23390) = 2

We will now calculate the prime factors of 23382 and 23390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23382 and 23390.

How to find the GCF of 23382 and 23390?

We will first find the prime factorization of 23382 and 23390. After we will calculate the factors of 23382 and 23390 and find the biggest common factor number .

Step-1: Prime Factorization of 23382

Prime factors of 23382 are 2, 3, 433. Prime factorization of 23382 in exponential form is:

23382 = 2¹ × 3³ × 433¹

Step-2: Prime Factorization of 23390

Prime factors of 23390 are 2, 5, 2339. Prime factorization of 23390 in exponential form is:

23390 = 2¹ × 5¹ × 2339¹

Step-3: Factors of 23382

List of positive integer factors of 23382 that divides 23382 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 433, 866, 1299, 2598, 3897, 7794, 11691

Step-4: Factors of 23390

List of positive integer factors of 23390 that divides 23382 without a remainder.

1, 2, 5, 10, 2339, 4678, 11695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23382 and 23390. The biggest common factor number is the GCF number.
So the greatest common factor 23382 and 23390 is 2.

Also check out the Least Common Multiple of 23382 and 23390