What is the Greatest Common Factor of 23320 and 23340?

Greatest common factor (GCF) of 23320 and 23340 is 20.

GCF(23320,23340) = 20

We will now calculate the prime factors of 23320 and 23340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23320 and 23340.

How to find the GCF of 23320 and 23340?

We will first find the prime factorization of 23320 and 23340. After we will calculate the factors of 23320 and 23340 and find the biggest common factor number .

Step-1: Prime Factorization of 23320

Prime factors of 23320 are 2, 5, 11, 53. Prime factorization of 23320 in exponential form is:

23320 = 2³ × 5¹ × 11¹ × 53¹

Step-2: 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-3: Factors of 23320

List of positive integer factors of 23320 that divides 23320 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 53, 55, 88, 106, 110, 212, 220, 265, 424, 440, 530, 583, 1060, 1166, 2120, 2332, 2915, 4664, 5830, 11660

Step-4: Factors of 23340

List of positive integer factors of 23340 that divides 23320 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23320 and 23340. The biggest common factor number is the GCF number.
So the greatest common factor 23320 and 23340 is 20.

Also check out the Least Common Multiple of 23320 and 23340