What is the Greatest Common Factor of 23700 and 23720?

Greatest common factor (GCF) of 23700 and 23720 is 20.

GCF(23700,23720) = 20

We will now calculate the prime factors of 23700 and 23720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23700 and 23720.

How to find the GCF of 23700 and 23720?

We will first find the prime factorization of 23700 and 23720. After we will calculate the factors of 23700 and 23720 and find the biggest common factor number .

Step-1: Prime Factorization of 23700

Prime factors of 23700 are 2, 3, 5, 79. Prime factorization of 23700 in exponential form is:

23700 = 2² × 3¹ × 5² × 79¹

Step-2: Prime Factorization of 23720

Prime factors of 23720 are 2, 5, 593. Prime factorization of 23720 in exponential form is:

23720 = 2³ × 5¹ × 593¹

Step-3: Factors of 23700

List of positive integer factors of 23700 that divides 23700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 79, 100, 150, 158, 237, 300, 316, 395, 474, 790, 948, 1185, 1580, 1975, 2370, 3950, 4740, 5925, 7900, 11850

Step-4: Factors of 23720

List of positive integer factors of 23720 that divides 23700 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 593, 1186, 2372, 2965, 4744, 5930, 11860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23700 and 23720. The biggest common factor number is the GCF number.
So the greatest common factor 23700 and 23720 is 20.

Also check out the Least Common Multiple of 23700 and 23720