What is the Greatest Common Factor of 18655 and 18665?

Greatest common factor (GCF) of 18655 and 18665 is 5.

GCF(18655,18665) = 5

We will now calculate the prime factors of 18655 and 18665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18655 and 18665.

How to find the GCF of 18655 and 18665?

We will first find the prime factorization of 18655 and 18665. After we will calculate the factors of 18655 and 18665 and find the biggest common factor number .

Step-1: Prime Factorization of 18655

Prime factors of 18655 are 5, 7, 13, 41. Prime factorization of 18655 in exponential form is:

18655 = 5¹ × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 18665

Prime factors of 18665 are 5, 3733. Prime factorization of 18665 in exponential form is:

18665 = 5¹ × 3733¹

Step-3: Factors of 18655

List of positive integer factors of 18655 that divides 18655 without a remainder.

1, 5, 7, 13, 35, 41, 65, 91, 205, 287, 455, 533, 1435, 2665, 3731

Step-4: Factors of 18665

List of positive integer factors of 18665 that divides 18655 without a remainder.

1, 5, 3733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18655 and 18665. The biggest common factor number is the GCF number.
So the greatest common factor 18655 and 18665 is 5.

Also check out the Least Common Multiple of 18655 and 18665