What is the Greatest Common Factor of 94464 and 94468?

Greatest common factor (GCF) of 94464 and 94468 is 4.

GCF(94464,94468) = 4

We will now calculate the prime factors of 94464 and 94468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94464 and 94468.

How to find the GCF of 94464 and 94468?

We will first find the prime factorization of 94464 and 94468. After we will calculate the factors of 94464 and 94468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94468

Prime factors of 94468 are 2, 11, 19, 113. Prime factorization of 94468 in exponential form is:

94468 = 2² × 11¹ × 19¹ × 113¹

Step-3: Factors of 94464

List of positive integer factors of 94464 that divides 94464 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

Step-4: Factors of 94468

List of positive integer factors of 94468 that divides 94464 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 113, 209, 226, 418, 452, 836, 1243, 2147, 2486, 4294, 4972, 8588, 23617, 47234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94464 and 94468. The biggest common factor number is the GCF number.
So the greatest common factor 94464 and 94468 is 4.

Also check out the Least Common Multiple of 94464 and 94468