What is the Greatest Common Factor of 18456 and 18472?

Greatest common factor (GCF) of 18456 and 18472 is 8.

GCF(18456,18472) = 8

We will now calculate the prime factors of 18456 and 18472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18456 and 18472.

How to find the GCF of 18456 and 18472?

We will first find the prime factorization of 18456 and 18472. After we will calculate the factors of 18456 and 18472 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 18472

Prime factors of 18472 are 2, 2309. Prime factorization of 18472 in exponential form is:

18472 = 2³ × 2309¹

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 18472

List of positive integer factors of 18472 that divides 18456 without a remainder.

1, 2, 4, 8, 2309, 4618, 9236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18456 and 18472. The biggest common factor number is the GCF number.
So the greatest common factor 18456 and 18472 is 8.

Also check out the Least Common Multiple of 18456 and 18472