What is the Greatest Common Factor of 18657 and 18661?

Greatest common factor (GCF) of 18657 and 18661 is 1.

GCF(18657,18661) = 1

We will now calculate the prime factors of 18657 and 18661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18657 and 18661.

How to find the GCF of 18657 and 18661?

We will first find the prime factorization of 18657 and 18661. After we will calculate the factors of 18657 and 18661 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 18661

Prime factors of 18661 are 18661. Prime factorization of 18661 in exponential form is:

18661 = 18661¹

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 18661

List of positive integer factors of 18661 that divides 18657 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18657 and 18661. The biggest common factor number is the GCF number.
So the greatest common factor 18657 and 18661 is 1.

Also check out the Least Common Multiple of 18657 and 18661