What is the Greatest Common Factor of 23340 and 23349?

Greatest common factor (GCF) of 23340 and 23349 is 3.

GCF(23340,23349) = 3

We will now calculate the prime factors of 23340 and 23349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23340 and 23349.

How to find the GCF of 23340 and 23349?

We will first find the prime factorization of 23340 and 23349. After we will calculate the factors of 23340 and 23349 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 23349

Prime factors of 23349 are 3, 43, 181. Prime factorization of 23349 in exponential form is:

23349 = 3¹ × 43¹ × 181¹

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 23349

List of positive integer factors of 23349 that divides 23340 without a remainder.

1, 3, 43, 129, 181, 543, 7783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23340 and 23349. The biggest common factor number is the GCF number.
So the greatest common factor 23340 and 23349 is 3.

Also check out the Least Common Multiple of 23340 and 23349