What is the Greatest Common Factor of 18666 and 18677?

Greatest common factor (GCF) of 18666 and 18677 is 1.

GCF(18666,18677) = 1

We will now calculate the prime factors of 18666 and 18677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18666 and 18677.

How to find the GCF of 18666 and 18677?

We will first find the prime factorization of 18666 and 18677. After we will calculate the factors of 18666 and 18677 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 18677

Prime factors of 18677 are 19, 983. Prime factorization of 18677 in exponential form is:

18677 = 19¹ × 983¹

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 18677

List of positive integer factors of 18677 that divides 18666 without a remainder.

1, 19, 983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18666 and 18677. The biggest common factor number is the GCF number.
So the greatest common factor 18666 and 18677 is 1.

Also check out the Least Common Multiple of 18666 and 18677