What is the Greatest Common Factor of 18666 and 18675?

Greatest common factor (GCF) of 18666 and 18675 is 9.

GCF(18666,18675) = 9

We will now calculate the prime factors of 18666 and 18675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18666 and 18675.

How to find the GCF of 18666 and 18675?

We will first find the prime factorization of 18666 and 18675. After we will calculate the factors of 18666 and 18675 and find the biggest common factor number .

Step-1: Prime Factorization of 18666

Prime factors of 18666 are 2, 3, 17, 61. Prime factorization of 18666 in exponential form is:

18666 = 2¹ × 3² × 17¹ × 61¹

Step-2: 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-3: Factors of 18666

List of positive integer factors of 18666 that divides 18666 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 61, 102, 122, 153, 183, 306, 366, 549, 1037, 1098, 2074, 3111, 6222, 9333

Step-4: Factors of 18675

List of positive integer factors of 18675 that divides 18666 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18666 and 18675. The biggest common factor number is the GCF number.
So the greatest common factor 18666 and 18675 is 9.

Also check out the Least Common Multiple of 18666 and 18675