What is the Greatest Common Factor of 9456 and 9464?

Greatest common factor (GCF) of 9456 and 9464 is 8.

GCF(9456,9464) = 8

We will now calculate the prime factors of 9456 and 9464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9456 and 9464.

How to find the GCF of 9456 and 9464?

We will first find the prime factorization of 9456 and 9464. After we will calculate the factors of 9456 and 9464 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 9464

Prime factors of 9464 are 2, 7, 13. Prime factorization of 9464 in exponential form is:

9464 = 2³ × 7¹ × 13²

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 9464

List of positive integer factors of 9464 that divides 9456 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9456 and 9464. The biggest common factor number is the GCF number.
So the greatest common factor 9456 and 9464 is 8.

Also check out the Least Common Multiple of 9456 and 9464