What is the Greatest Common Factor of 29312 and 29316?

Greatest common factor (GCF) of 29312 and 29316 is 4.

GCF(29312,29316) = 4

We will now calculate the prime factors of 29312 and 29316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29312 and 29316.

How to find the GCF of 29312 and 29316?

We will first find the prime factorization of 29312 and 29316. After we will calculate the factors of 29312 and 29316 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 29316

Prime factors of 29316 are 2, 3, 7, 349. Prime factorization of 29316 in exponential form is:

29316 = 2² × 3¹ × 7¹ × 349¹

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 29316

List of positive integer factors of 29316 that divides 29312 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 349, 698, 1047, 1396, 2094, 2443, 4188, 4886, 7329, 9772, 14658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29312 and 29316. The biggest common factor number is the GCF number.
So the greatest common factor 29312 and 29316 is 4.

Also check out the Least Common Multiple of 29312 and 29316