What is the Greatest Common Factor of 23340 and 23354?

Greatest common factor (GCF) of 23340 and 23354 is 2.

GCF(23340,23354) = 2

We will now calculate the prime factors of 23340 and 23354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23340 and 23354.

How to find the GCF of 23340 and 23354?

We will first find the prime factorization of 23340 and 23354. After we will calculate the factors of 23340 and 23354 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 23354

Prime factors of 23354 are 2, 11677. Prime factorization of 23354 in exponential form is:

23354 = 2¹ × 11677¹

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 23354

List of positive integer factors of 23354 that divides 23340 without a remainder.

1, 2, 11677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23340 and 23354. The biggest common factor number is the GCF number.
So the greatest common factor 23340 and 23354 is 2.

Also check out the Least Common Multiple of 23340 and 23354