Greatest Common Factor of 312 and 317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 312, 317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 312 and 317 is 1.

GCF(312,317) = 1

GCF of 312 and 317

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

GCF of:
and

Greatest Common Factor of 312 and 317

GCF of 312 and 317 is 1

Prime Factorization of 312


2 312
2 156
2 78
3 39
13 13
1

Prime factors of 312 are 2,3,13. Prime factorization of 312 in exponential form is:

312 = 23×31×131

Prime Factorization of 317


317 317
1

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

317 = 3171

∴ So by taking common prime factors GCF of 312 and 317 is 1

Greatest Common Factor of 312 and 317 by matching factors method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 317

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

1,317

Greatest Common Factor

We found the factors and prime factorization of 312 and 317. The biggest common factor number is the GCF number.
So the greatest common factor 312 and 317 is 1.

Also check out the Least Common Multiple of 312 and 317

Properties of GCF 312 and 317

(i) The GCF of 312 and 317 is associative

GCF of 312 and 317 = GCF of 317 and 312

Related Greatest Common Factor of 312

Related Greatest Common Factor of 317

Frequently Asked Questions on GCF of 312 and 317

1. What is the GCF of 312 and 317?

Answer: GCF of 312 and 317 is 1.

2. What are the Factors of 312?

Answer: Factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312. There are 16 integers that are factors of 312. The greatest factor of 312 is 312.

3. 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.

4. How to Find the GCF of 312 and 317?

Answer:

Greatest Common Factor of 312 and 317 = 1

Step 1: Find the prime factorization of 312

312 = 2 x 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 317

317 = 317

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 312 and 317 is 1