What is the Greatest Common Factor of 29312 and 29332?

Greatest common factor (GCF) of 29312 and 29332 is 4.

GCF(29312,29332) = 4

We will now calculate the prime factors of 29312 and 29332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29312 and 29332.

How to find the GCF of 29312 and 29332?

We will first find the prime factorization of 29312 and 29332. After we will calculate the factors of 29312 and 29332 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 29332

Prime factors of 29332 are 2, 7333. Prime factorization of 29332 in exponential form is:

29332 = 2² × 7333¹

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 29332

List of positive integer factors of 29332 that divides 29312 without a remainder.

1, 2, 4, 7333, 14666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29312 and 29332. The biggest common factor number is the GCF number.
So the greatest common factor 29312 and 29332 is 4.

Also check out the Least Common Multiple of 29312 and 29332