What is the Greatest Common Factor of 18738 and 18750?

Greatest common factor (GCF) of 18738 and 18750 is 6.

GCF(18738,18750) = 6

We will now calculate the prime factors of 18738 and 18750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18738 and 18750.

How to find the GCF of 18738 and 18750?

We will first find the prime factorization of 18738 and 18750. After we will calculate the factors of 18738 and 18750 and find the biggest common factor number .

Step-1: Prime Factorization of 18738

Prime factors of 18738 are 2, 3, 347. Prime factorization of 18738 in exponential form is:

18738 = 2¹ × 3³ × 347¹

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 18738

List of positive integer factors of 18738 that divides 18738 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 347, 694, 1041, 2082, 3123, 6246, 9369

Step-4: Factors of 18750

List of positive integer factors of 18750 that divides 18738 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 18738 and 18750. The biggest common factor number is the GCF number.
So the greatest common factor 18738 and 18750 is 6.

Also check out the Least Common Multiple of 18738 and 18750