What is the Greatest Common Factor of 29312 and 29331?

Greatest common factor (GCF) of 29312 and 29331 is 1.

GCF(29312,29331) = 1

We will now calculate the prime factors of 29312 and 29331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29312 and 29331.

How to find the GCF of 29312 and 29331?

We will first find the prime factorization of 29312 and 29331. After we will calculate the factors of 29312 and 29331 and find the biggest common factor number .

Step-1: Prime Factorization of 29312

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

29312 = 2⁷ × 229¹

Step-2: Prime Factorization of 29331

Prime factors of 29331 are 3, 3259. Prime factorization of 29331 in exponential form is:

29331 = 3² × 3259¹

Step-3: Factors of 29312

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

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

Step-4: Factors of 29331

List of positive integer factors of 29331 that divides 29312 without a remainder.

1, 3, 9, 3259, 9777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29312 and 29331. The biggest common factor number is the GCF number.
So the greatest common factor 29312 and 29331 is 1.

Also check out the Least Common Multiple of 29312 and 29331