What is the Greatest Common Factor of 7312 and 7317?

Greatest common factor (GCF) of 7312 and 7317 is 1.

GCF(7312,7317) = 1

We will now calculate the prime factors of 7312 and 7317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7312 and 7317.

How to find the GCF of 7312 and 7317?

We will first find the prime factorization of 7312 and 7317. After we will calculate the factors of 7312 and 7317 and find the biggest common factor number .

Step-1: Prime Factorization of 7312

Prime factors of 7312 are 2, 457. Prime factorization of 7312 in exponential form is:

7312 = 2⁴ × 457¹

Step-2: Prime Factorization of 7317

Prime factors of 7317 are 3, 271. Prime factorization of 7317 in exponential form is:

7317 = 3³ × 271¹

Step-3: Factors of 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1, 2, 4, 8, 16, 457, 914, 1828, 3656

Step-4: Factors of 7317

List of positive integer factors of 7317 that divides 7312 without a remainder.

1, 3, 9, 27, 271, 813, 2439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7312 and 7317. The biggest common factor number is the GCF number.
So the greatest common factor 7312 and 7317 is 1.

Also check out the Least Common Multiple of 7312 and 7317