What is the Greatest Common Factor of 23700 and 23715?

Greatest common factor (GCF) of 23700 and 23715 is 15.

GCF(23700,23715) = 15

We will now calculate the prime factors of 23700 and 23715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23700 and 23715.

How to find the GCF of 23700 and 23715?

We will first find the prime factorization of 23700 and 23715. After we will calculate the factors of 23700 and 23715 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 23715

Prime factors of 23715 are 3, 5, 17, 31. Prime factorization of 23715 in exponential form is:

23715 = 3² × 5¹ × 17¹ × 31¹

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 23715

List of positive integer factors of 23715 that divides 23700 without a remainder.

1, 3, 5, 9, 15, 17, 31, 45, 51, 85, 93, 153, 155, 255, 279, 465, 527, 765, 1395, 1581, 2635, 4743, 7905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23700 and 23715. The biggest common factor number is the GCF number.
So the greatest common factor 23700 and 23715 is 15.

Also check out the Least Common Multiple of 23700 and 23715