What is the Greatest Common Factor of 18745 and 18750?

Greatest common factor (GCF) of 18745 and 18750 is 5.

GCF(18745,18750) = 5

We will now calculate the prime factors of 18745 and 18750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18745 and 18750.

How to find the GCF of 18745 and 18750?

We will first find the prime factorization of 18745 and 18750. After we will calculate the factors of 18745 and 18750 and find the biggest common factor number .

Step-1: Prime Factorization of 18745

Prime factors of 18745 are 5, 23, 163. Prime factorization of 18745 in exponential form is:

18745 = 5¹ × 23¹ × 163¹

Step-2: Prime Factorization of 18750

Prime factors of 18750 are 2, 3, 5. Prime factorization of 18750 in exponential form is:

18750 = 2¹ × 3¹ × 5⁵

Step-3: Factors of 18745

List of positive integer factors of 18745 that divides 18745 without a remainder.

1, 5, 23, 115, 163, 815, 3749

Step-4: Factors of 18750

List of positive integer factors of 18750 that divides 18745 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3125, 3750, 6250, 9375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18745 and 18750. The biggest common factor number is the GCF number.
So the greatest common factor 18745 and 18750 is 5.

Also check out the Least Common Multiple of 18745 and 18750