What is the Greatest Common Factor of 18657 and 18666?

Greatest common factor (GCF) of 18657 and 18666 is 9.

GCF(18657,18666) = 9

We will now calculate the prime factors of 18657 and 18666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18657 and 18666.

How to find the GCF of 18657 and 18666?

We will first find the prime factorization of 18657 and 18666. After we will calculate the factors of 18657 and 18666 and find the biggest common factor number .

Step-1: Prime Factorization of 18657

Prime factors of 18657 are 3, 691. Prime factorization of 18657 in exponential form is:

18657 = 3³ × 691¹

Step-2: 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-3: Factors of 18657

List of positive integer factors of 18657 that divides 18657 without a remainder.

1, 3, 9, 27, 691, 2073, 6219

Step-4: Factors of 18666

List of positive integer factors of 18666 that divides 18657 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18657 and 18666. The biggest common factor number is the GCF number.
So the greatest common factor 18657 and 18666 is 9.

Also check out the Least Common Multiple of 18657 and 18666