What is the Greatest Common Factor of 23745 and 23750?

Greatest common factor (GCF) of 23745 and 23750 is 5.

GCF(23745,23750) = 5

We will now calculate the prime factors of 23745 and 23750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23745 and 23750.

How to find the GCF of 23745 and 23750?

We will first find the prime factorization of 23745 and 23750. After we will calculate the factors of 23745 and 23750 and find the biggest common factor number .

Step-1: Prime Factorization of 23745

Prime factors of 23745 are 3, 5, 1583. Prime factorization of 23745 in exponential form is:

23745 = 3¹ × 5¹ × 1583¹

Step-2: Prime Factorization of 23750

Prime factors of 23750 are 2, 5, 19. Prime factorization of 23750 in exponential form is:

23750 = 2¹ × 5⁴ × 19¹

Step-3: Factors of 23745

List of positive integer factors of 23745 that divides 23745 without a remainder.

1, 3, 5, 15, 1583, 4749, 7915

Step-4: Factors of 23750

List of positive integer factors of 23750 that divides 23745 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 625, 950, 1250, 2375, 4750, 11875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23745 and 23750. The biggest common factor number is the GCF number.
So the greatest common factor 23745 and 23750 is 5.

Also check out the Least Common Multiple of 23745 and 23750