What is the Greatest Common Factor of 94458 and 94464?

Greatest common factor (GCF) of 94458 and 94464 is 6.

GCF(94458,94464) = 6

We will now calculate the prime factors of 94458 and 94464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94458 and 94464.

How to find the GCF of 94458 and 94464?

We will first find the prime factorization of 94458 and 94464. After we will calculate the factors of 94458 and 94464 and find the biggest common factor number .

Step-1: Prime Factorization of 94458

Prime factors of 94458 are 2, 3, 7, 13, 173. Prime factorization of 94458 in exponential form is:

94458 = 2¹ × 3¹ × 7¹ × 13¹ × 173¹

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 94458

List of positive integer factors of 94458 that divides 94458 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 173, 182, 273, 346, 519, 546, 1038, 1211, 2249, 2422, 3633, 4498, 6747, 7266, 13494, 15743, 31486, 47229

Step-4: Factors of 94464

List of positive integer factors of 94464 that divides 94458 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 94458 and 94464. The biggest common factor number is the GCF number.
So the greatest common factor 94458 and 94464 is 6.

Also check out the Least Common Multiple of 94458 and 94464