What is the Greatest Common Factor of 23700 and 23708?

Greatest common factor (GCF) of 23700 and 23708 is 4.

GCF(23700,23708) = 4

We will now calculate the prime factors of 23700 and 23708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23700 and 23708.

How to find the GCF of 23700 and 23708?

We will first find the prime factorization of 23700 and 23708. After we will calculate the factors of 23700 and 23708 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 23708

Prime factors of 23708 are 2, 5927. Prime factorization of 23708 in exponential form is:

23708 = 2² × 5927¹

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 23708

List of positive integer factors of 23708 that divides 23700 without a remainder.

1, 2, 4, 5927, 11854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23700 and 23708. The biggest common factor number is the GCF number.
So the greatest common factor 23700 and 23708 is 4.

Also check out the Least Common Multiple of 23700 and 23708