Greatest Common Factor of 317 and 323

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 317 and 323 by prime factorization method
• Greatest Common Factor of 317 and 323 by matching factors method

Prime Factorization of 317

Prime factors of 317 are 317. Prime factorization of 317 in exponential form is:

317 = 317¹

Prime Factorization of 323

Prime factors of 323 are 17.Prime factorization of 323 in exponential form is:

323 = 17¹×19¹

∴ So by taking common prime factors GCF of 317 and 323 is 1

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors and prime factorization of 317 and 323. The biggest common factor number is the GCF number.
So the greatest common factor 317 and 323 is 1.

Also check out the Least Common Multiple of 317 and 323

(i) The GCF of 317 and 323 is associative

GCF of 317 and 323 = GCF of 323 and 317

1. What is the GCF of 317 and 323?

Answer: GCF of 317 and 323 is 1.

2. What are the Factors of 317?

Answer: Factors of 317 are 1, 317. There are 2 integers that are factors of 317. The greatest factor of 317 is 317.

3. What are the Factors of 323?

Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.

4. How to Find the GCF of 317 and 323?

Answer:

Greatest Common Factor of 317 and 323 = 1

Step 1: Find the prime factorization of 317

317 = 317

Step 2: Find the prime factorization of 323

323 = 17 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 317 and 323 is 1