What is the Greatest Common Factor of 9456 and 9468?

Greatest common factor (GCF) of 9456 and 9468 is 12.

GCF(9456,9468) = 12

We will now calculate the prime factors of 9456 and 9468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9456 and 9468.

How to find the GCF of 9456 and 9468?

We will first find the prime factorization of 9456 and 9468. After we will calculate the factors of 9456 and 9468 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 9468

Prime factors of 9468 are 2, 3, 263. Prime factorization of 9468 in exponential form is:

9468 = 2² × 3² × 263¹

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 9468

List of positive integer factors of 9468 that divides 9456 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9456 and 9468. The biggest common factor number is the GCF number.
So the greatest common factor 9456 and 9468 is 12.

Also check out the Least Common Multiple of 9456 and 9468