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 310, 317 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 310 and 317 is 1.
GCF(310,317) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 310
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 310 are 2,5,31. Prime factorization of 310 in exponential form is:
310 = 21×51×311
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 310 and 317 is 1
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
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 310 and 317. The biggest common factor number is the GCF number.
So the greatest common factor 310 and 317 is 1.
Also check out the Least Common Multiple of 310 and 317
(i) The GCF of 310 and 317 is associative
GCF of 310 and 317 = GCF of 317 and 310
1. What is the GCF of 310 and 317?
Answer: GCF of 310 and 317 is 1.
2. What are the Factors of 310?
Answer: Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. There are 8 integers that are factors of 310. The greatest factor of 310 is 310.
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 310 and 317?
Answer:
Greatest Common Factor of 310 and 317 = 1
Step 1: Find the prime factorization of 310
310 = 2 x 5 x 31
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 310 and 317 is 1