What is the Greatest Common Factor of 23382 and 23387?

Greatest common factor (GCF) of 23382 and 23387 is 1.

GCF(23382,23387) = 1

We will now calculate the prime factors of 23382 and 23387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23382 and 23387.

How to find the GCF of 23382 and 23387?

We will first find the prime factorization of 23382 and 23387. After we will calculate the factors of 23382 and 23387 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 23387

Prime factors of 23387 are 7, 13, 257. Prime factorization of 23387 in exponential form is:

23387 = 7¹ × 13¹ × 257¹

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 23387

List of positive integer factors of 23387 that divides 23382 without a remainder.

1, 7, 13, 91, 257, 1799, 3341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23382 and 23387. The biggest common factor number is the GCF number.
So the greatest common factor 23382 and 23387 is 1.

Also check out the Least Common Multiple of 23382 and 23387