What is the Greatest Common Factor of 9456 and 9467?

Greatest common factor (GCF) of 9456 and 9467 is 1.

GCF(9456,9467) = 1

We will now calculate the prime factors of 9456 and 9467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9456 and 9467.

How to find the GCF of 9456 and 9467?

We will first find the prime factorization of 9456 and 9467. After we will calculate the factors of 9456 and 9467 and find the biggest common factor number .

Step-1: Prime Factorization of 9456

Prime factors of 9456 are 2, 3, 197. Prime factorization of 9456 in exponential form is:

9456 = 2⁴ × 3¹ × 197¹

Step-2: Prime Factorization of 9467

Prime factors of 9467 are 9467. Prime factorization of 9467 in exponential form is:

9467 = 9467¹

Step-3: Factors of 9456

List of positive integer factors of 9456 that divides 9456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728

Step-4: Factors of 9467

List of positive integer factors of 9467 that divides 9456 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9456 and 9467. The biggest common factor number is the GCF number.
So the greatest common factor 9456 and 9467 is 1.

Also check out the Least Common Multiple of 9456 and 9467