What is the Greatest Common Factor of 94452 and 94464?

Greatest common factor (GCF) of 94452 and 94464 is 12.

GCF(94452,94464) = 12

We will now calculate the prime factors of 94452 and 94464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94452 and 94464.

How to find the GCF of 94452 and 94464?

We will first find the prime factorization of 94452 and 94464. After we will calculate the factors of 94452 and 94464 and find the biggest common factor number .

Step-1: Prime Factorization of 94452

Prime factors of 94452 are 2, 3, 17, 463. Prime factorization of 94452 in exponential form is:

94452 = 2² × 3¹ × 17¹ × 463¹

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 94452

List of positive integer factors of 94452 that divides 94452 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 463, 926, 1389, 1852, 2778, 5556, 7871, 15742, 23613, 31484, 47226

Step-4: Factors of 94464

List of positive integer factors of 94464 that divides 94452 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 94452 and 94464. The biggest common factor number is the GCF number.
So the greatest common factor 94452 and 94464 is 12.

Also check out the Least Common Multiple of 94452 and 94464