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 31313, 31317 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 31313 and 31317 is 1.
GCF(31313,31317) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 31313
173 | 31313 |
181 | 181 |
1 |
Prime factors of 31313 are 173,181. Prime factorization of 31313 in exponential form is:
31313 = 1731×1811
Prime Factorization of 31317
3 | 31317 |
11 | 10439 |
13 | 949 |
73 | 73 |
1 |
Prime factors of 31317 are 3,11,13,73. Prime factorization of 31317 in exponential form is:
31317 = 31×111×131×731
∴ So by taking common prime factors GCF of 31313 and 31317 is 1
Factors of 31313
List of positive integer factors of 31313 that divides 31313 without a remainder.
1,173,181,31313
Factors of 31317
List of positive integer factors of 31317 that divides 31317 without a remainder.
1,3,11,13,33,39,73,143,219,429,803,949,2409,2847,10439,31317
Greatest Common Factor
We found the factors and prime factorization of 31313 and 31317. The biggest common factor number is the GCF number.
So the greatest common factor 31313 and 31317 is 1.
Also check out the Least Common Multiple of 31313 and 31317
(i) The GCF of 31313 and 31317 is associative
GCF of 31313 and 31317 = GCF of 31317 and 31313
1. What is the GCF of 31313 and 31317?
Answer: GCF of 31313 and 31317 is 1.
2. What are the Factors of 31313?
Answer: Factors of 31313 are 1, 173, 181, 31313. There are 4 integers that are factors of 31313. The greatest factor of 31313 is 31313.
3. What are the Factors of 31317?
Answer: Factors of 31317 are 1, 3, 11, 13, 33, 39, 73, 143, 219, 429, 803, 949, 2409, 2847, 10439, 31317. There are 16 integers that are factors of 31317. The greatest factor of 31317 is 31317.
4. How to Find the GCF of 31313 and 31317?
Answer:
Greatest Common Factor of 31313 and 31317 = 1
Step 1: Find the prime factorization of 31313
31313 = 173 x 181
Step 2: Find the prime factorization of 31317
31317 = 3 x 11 x 13 x 73
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 31313 and 31317 is 1