What is the Greatest Common Factor of 23700 and 23710?

Greatest common factor (GCF) of 23700 and 23710 is 10.

GCF(23700,23710) = 10

We will now calculate the prime factors of 23700 and 23710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23700 and 23710.

How to find the GCF of 23700 and 23710?

We will first find the prime factorization of 23700 and 23710. After we will calculate the factors of 23700 and 23710 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 23710

Prime factors of 23710 are 2, 5, 2371. Prime factorization of 23710 in exponential form is:

23710 = 2¹ × 5¹ × 2371¹

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 23710

List of positive integer factors of 23710 that divides 23700 without a remainder.

1, 2, 5, 10, 2371, 4742, 11855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23700 and 23710. The biggest common factor number is the GCF number.
So the greatest common factor 23700 and 23710 is 10.

Also check out the Least Common Multiple of 23700 and 23710