What is the Greatest Common Factor of 23340 and 23360?

Greatest common factor (GCF) of 23340 and 23360 is 20.

GCF(23340,23360) = 20

We will now calculate the prime factors of 23340 and 23360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23340 and 23360.

How to find the GCF of 23340 and 23360?

We will first find the prime factorization of 23340 and 23360. After we will calculate the factors of 23340 and 23360 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 23360

Prime factors of 23360 are 2, 5, 73. Prime factorization of 23360 in exponential form is:

23360 = 2⁶ × 5¹ × 73¹

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 23360

List of positive integer factors of 23360 that divides 23340 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 73, 80, 146, 160, 292, 320, 365, 584, 730, 1168, 1460, 2336, 2920, 4672, 5840, 11680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23340 and 23360. The biggest common factor number is the GCF number.
So the greatest common factor 23340 and 23360 is 20.

Also check out the Least Common Multiple of 23340 and 23360