What is the Greatest Common Factor of 18675 and 18687?

Greatest common factor (GCF) of 18675 and 18687 is 3.

GCF(18675,18687) = 3

We will now calculate the prime factors of 18675 and 18687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18675 and 18687.

How to find the GCF of 18675 and 18687?

We will first find the prime factorization of 18675 and 18687. After we will calculate the factors of 18675 and 18687 and find the biggest common factor number .

Step-1: Prime Factorization of 18675

Prime factors of 18675 are 3, 5, 83. Prime factorization of 18675 in exponential form is:

18675 = 3² × 5² × 83¹

Step-2: Prime Factorization of 18687

Prime factors of 18687 are 3, 6229. Prime factorization of 18687 in exponential form is:

18687 = 3¹ × 6229¹

Step-3: Factors of 18675

List of positive integer factors of 18675 that divides 18675 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 83, 225, 249, 415, 747, 1245, 2075, 3735, 6225

Step-4: Factors of 18687

List of positive integer factors of 18687 that divides 18675 without a remainder.

1, 3, 6229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18675 and 18687. The biggest common factor number is the GCF number.
So the greatest common factor 18675 and 18687 is 3.

Also check out the Least Common Multiple of 18675 and 18687