What is the Greatest Common Factor of 23340 and 23358?

Greatest common factor (GCF) of 23340 and 23358 is 6.

GCF(23340,23358) = 6

We will now calculate the prime factors of 23340 and 23358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23340 and 23358.

How to find the GCF of 23340 and 23358?

We will first find the prime factorization of 23340 and 23358. After we will calculate the factors of 23340 and 23358 and find the biggest common factor number .

Step-1: Prime Factorization of 23340

Prime factors of 23340 are 2, 3, 5, 389. Prime factorization of 23340 in exponential form is:

23340 = 2² × 3¹ × 5¹ × 389¹

Step-2: Prime Factorization of 23358

Prime factors of 23358 are 2, 3, 17, 229. Prime factorization of 23358 in exponential form is:

23358 = 2¹ × 3¹ × 17¹ × 229¹

Step-3: Factors of 23340

List of positive integer factors of 23340 that divides 23340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 389, 778, 1167, 1556, 1945, 2334, 3890, 4668, 5835, 7780, 11670

Step-4: Factors of 23358

List of positive integer factors of 23358 that divides 23340 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 229, 458, 687, 1374, 3893, 7786, 11679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23340 and 23358. The biggest common factor number is the GCF number.
So the greatest common factor 23340 and 23358 is 6.

Also check out the Least Common Multiple of 23340 and 23358