What is the Greatest Common Factor of 29304 and 29311?

Greatest common factor (GCF) of 29304 and 29311 is 1.

GCF(29304,29311) = 1

We will now calculate the prime factors of 29304 and 29311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29304 and 29311.

How to find the GCF of 29304 and 29311?

We will first find the prime factorization of 29304 and 29311. After we will calculate the factors of 29304 and 29311 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 29311

Prime factors of 29311 are 29311. Prime factorization of 29311 in exponential form is:

29311 = 29311¹

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 29311

List of positive integer factors of 29311 that divides 29304 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29304 and 29311. The biggest common factor number is the GCF number.
So the greatest common factor 29304 and 29311 is 1.

Also check out the Least Common Multiple of 29304 and 29311