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 311409, 311417 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 311409 and 311417 is 1.
GCF(311409,311417) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 311409
3 | 311409 |
3 | 103803 |
7 | 34601 |
4943 | 4943 |
1 |
Prime factors of 311409 are 3,7,4943. Prime factorization of 311409 in exponential form is:
311409 = 32×71×49431
Prime Factorization of 311417
239 | 311417 |
1303 | 1303 |
1 |
Prime factors of 311417 are 239,1303. Prime factorization of 311417 in exponential form is:
311417 = 2391×13031
∴ So by taking common prime factors GCF of 311409 and 311417 is 1
Factors of 311409
List of positive integer factors of 311409 that divides 311409 without a remainder.
1,3,7,9,21,63,4943,14829,34601,44487,103803,311409
Factors of 311417
List of positive integer factors of 311417 that divides 311417 without a remainder.
1,239,1303,311417
Greatest Common Factor
We found the factors and prime factorization of 311409 and 311417. The biggest common factor number is the GCF number.
So the greatest common factor 311409 and 311417 is 1.
Also check out the Least Common Multiple of 311409 and 311417
(i) The GCF of 311409 and 311417 is associative
GCF of 311409 and 311417 = GCF of 311417 and 311409
1. What is the GCF of 311409 and 311417?
Answer: GCF of 311409 and 311417 is 1.
2. What are the Factors of 311409?
Answer: Factors of 311409 are 1, 3, 7, 9, 21, 63, 4943, 14829, 34601, 44487, 103803, 311409. There are 12 integers that are factors of 311409. The greatest factor of 311409 is 311409.
3. What are the Factors of 311417?
Answer: Factors of 311417 are 1, 239, 1303, 311417. There are 4 integers that are factors of 311417. The greatest factor of 311417 is 311417.
4. How to Find the GCF of 311409 and 311417?
Answer:
Greatest Common Factor of 311409 and 311417 = 1
Step 1: Find the prime factorization of 311409
311409 = 3 x 3 x 7 x 4943
Step 2: Find the prime factorization of 311417
311417 = 239 x 1303
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 311409 and 311417 is 1