What is the Greatest Common Factor of 18456 and 18474?

Greatest common factor (GCF) of 18456 and 18474 is 6.

GCF(18456,18474) = 6

We will now calculate the prime factors of 18456 and 18474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18456 and 18474.

How to find the GCF of 18456 and 18474?

We will first find the prime factorization of 18456 and 18474. After we will calculate the factors of 18456 and 18474 and find the biggest common factor number .

Step-1: Prime Factorization of 18456

Prime factors of 18456 are 2, 3, 769. Prime factorization of 18456 in exponential form is:

18456 = 2³ × 3¹ × 769¹

Step-2: Prime Factorization of 18474

Prime factors of 18474 are 2, 3, 3079. Prime factorization of 18474 in exponential form is:

18474 = 2¹ × 3¹ × 3079¹

Step-3: Factors of 18456

List of positive integer factors of 18456 that divides 18456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 769, 1538, 2307, 3076, 4614, 6152, 9228

Step-4: Factors of 18474

List of positive integer factors of 18474 that divides 18456 without a remainder.

1, 2, 3, 6, 3079, 6158, 9237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18456 and 18474. The biggest common factor number is the GCF number.
So the greatest common factor 18456 and 18474 is 6.

Also check out the Least Common Multiple of 18456 and 18474