What is the Greatest Common Factor of 94455 and 94464?

Greatest common factor (GCF) of 94455 and 94464 is 9.

GCF(94455,94464) = 9

We will now calculate the prime factors of 94455 and 94464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94455 and 94464.

How to find the GCF of 94455 and 94464?

We will first find the prime factorization of 94455 and 94464. After we will calculate the factors of 94455 and 94464 and find the biggest common factor number .

Step-1: Prime Factorization of 94455

Prime factors of 94455 are 3, 5, 2099. Prime factorization of 94455 in exponential form is:

94455 = 3² × 5¹ × 2099¹

Step-2: Prime Factorization of 94464

Prime factors of 94464 are 2, 3, 41. Prime factorization of 94464 in exponential form is:

94464 = 2⁸ × 3² × 41¹

Step-3: Factors of 94455

List of positive integer factors of 94455 that divides 94455 without a remainder.

1, 3, 5, 9, 15, 45, 2099, 6297, 10495, 18891, 31485

Step-4: Factors of 94464

List of positive integer factors of 94464 that divides 94455 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 64, 72, 82, 96, 123, 128, 144, 164, 192, 246, 256, 288, 328, 369, 384, 492, 576, 656, 738, 768, 984, 1152, 1312, 1476, 1968, 2304, 2624, 2952, 3936, 5248, 5904, 7872, 10496, 11808, 15744, 23616, 31488, 47232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94455 and 94464. The biggest common factor number is the GCF number.
So the greatest common factor 94455 and 94464 is 9.

Also check out the Least Common Multiple of 94455 and 94464