What is the Greatest Common Factor of 9456 and 9460?

Greatest common factor (GCF) of 9456 and 9460 is 4.

GCF(9456,9460) = 4

We will now calculate the prime factors of 9456 and 9460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9456 and 9460.

How to find the GCF of 9456 and 9460?

We will first find the prime factorization of 9456 and 9460. After we will calculate the factors of 9456 and 9460 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 9460

Prime factors of 9460 are 2, 5, 11, 43. Prime factorization of 9460 in exponential form is:

9460 = 2² × 5¹ × 11¹ × 43¹

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 9460

List of positive integer factors of 9460 that divides 9456 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9456 and 9460. The biggest common factor number is the GCF number.
So the greatest common factor 9456 and 9460 is 4.

Also check out the Least Common Multiple of 9456 and 9460