What is the Greatest Common Factor of 18459 and 18465?

Greatest common factor (GCF) of 18459 and 18465 is 3.

GCF(18459,18465) = 3

We will now calculate the prime factors of 18459 and 18465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18459 and 18465.

How to find the GCF of 18459 and 18465?

We will first find the prime factorization of 18459 and 18465. After we will calculate the factors of 18459 and 18465 and find the biggest common factor number .

Step-1: Prime Factorization of 18459

Prime factors of 18459 are 3, 7, 293. Prime factorization of 18459 in exponential form is:

18459 = 3² × 7¹ × 293¹

Step-2: Prime Factorization of 18465

Prime factors of 18465 are 3, 5, 1231. Prime factorization of 18465 in exponential form is:

18465 = 3¹ × 5¹ × 1231¹

Step-3: Factors of 18459

List of positive integer factors of 18459 that divides 18459 without a remainder.

1, 3, 7, 9, 21, 63, 293, 879, 2051, 2637, 6153

Step-4: Factors of 18465

List of positive integer factors of 18465 that divides 18459 without a remainder.

1, 3, 5, 15, 1231, 3693, 6155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18459 and 18465. The biggest common factor number is the GCF number.
So the greatest common factor 18459 and 18465 is 3.

Also check out the Least Common Multiple of 18459 and 18465