What is the Greatest Common Factor of 29304 and 29312?

Greatest common factor (GCF) of 29304 and 29312 is 8.

GCF(29304,29312) = 8

We will now calculate the prime factors of 29304 and 29312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29304 and 29312.

How to find the GCF of 29304 and 29312?

We will first find the prime factorization of 29304 and 29312. After we will calculate the factors of 29304 and 29312 and find the biggest common factor number .

Step-1: Prime Factorization of 29304

Prime factors of 29304 are 2, 3, 11, 37. Prime factorization of 29304 in exponential form is:

29304 = 2³ × 3² × 11¹ × 37¹

Step-2: Prime Factorization of 29312

Prime factors of 29312 are 2, 229. Prime factorization of 29312 in exponential form is:

29312 = 2⁷ × 229¹

Step-3: Factors of 29304

List of positive integer factors of 29304 that divides 29304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 37, 44, 66, 72, 74, 88, 99, 111, 132, 148, 198, 222, 264, 296, 333, 396, 407, 444, 666, 792, 814, 888, 1221, 1332, 1628, 2442, 2664, 3256, 3663, 4884, 7326, 9768, 14652

Step-4: Factors of 29312

List of positive integer factors of 29312 that divides 29304 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 229, 458, 916, 1832, 3664, 7328, 14656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29304 and 29312. The biggest common factor number is the GCF number.
So the greatest common factor 29304 and 29312 is 8.

Also check out the Least Common Multiple of 29304 and 29312