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 31314, 31317 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 31314 and 31317 is 3.
GCF(31314,31317) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 31314
2 | 31314 |
3 | 15657 |
17 | 5219 |
307 | 307 |
1 |
Prime factors of 31314 are 2,3,17,307. Prime factorization of 31314 in exponential form is:
31314 = 21×31×171×3071
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 31314 and 31317 is 3
Factors of 31314
List of positive integer factors of 31314 that divides 31314 without a remainder.
1,2,3,6,17,34,51,102,307,614,921,1842,5219,10438,15657,31314
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 31314 and 31317. The biggest common factor number is the GCF number.
So the greatest common factor 31314 and 31317 is 3.
Also check out the Least Common Multiple of 31314 and 31317
(i) The GCF of 31314 and 31317 is associative
GCF of 31314 and 31317 = GCF of 31317 and 31314
1. What is the GCF of 31314 and 31317?
Answer: GCF of 31314 and 31317 is 3.
2. What are the Factors of 31314?
Answer: Factors of 31314 are 1, 2, 3, 6, 17, 34, 51, 102, 307, 614, 921, 1842, 5219, 10438, 15657, 31314. There are 16 integers that are factors of 31314. The greatest factor of 31314 is 31314.
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 31314 and 31317?
Answer:
Greatest Common Factor of 31314 and 31317 = 3
Step 1: Find the prime factorization of 31314
31314 = 2 x 3 x 17 x 307
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 = 3
Step 4: Therefore, the greatest common factor of 31314 and 31317 is 3