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 47315, 47322 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 47315 and 47322 is 1.
GCF(47315,47322) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 47315
5 | 47315 |
9463 | 9463 |
1 |
Prime factors of 47315 are 5,9463. Prime factorization of 47315 in exponential form is:
47315 = 51×94631
Prime Factorization of 47322
2 | 47322 |
3 | 23661 |
3 | 7887 |
11 | 2629 |
239 | 239 |
1 |
Prime factors of 47322 are 2,3,11,239. Prime factorization of 47322 in exponential form is:
47322 = 21×32×111×2391
∴ So by taking common prime factors GCF of 47315 and 47322 is 1
Factors of 47315
List of positive integer factors of 47315 that divides 47315 without a remainder.
1,5,9463,47315
Factors of 47322
List of positive integer factors of 47322 that divides 47322 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198,239,478,717,1434,2151,2629,4302,5258,7887,15774,23661,47322
Greatest Common Factor
We found the factors and prime factorization of 47315 and 47322. The biggest common factor number is the GCF number.
So the greatest common factor 47315 and 47322 is 1.
Also check out the Least Common Multiple of 47315 and 47322
(i) The GCF of 47315 and 47322 is associative
GCF of 47315 and 47322 = GCF of 47322 and 47315
1. What is the GCF of 47315 and 47322?
Answer: GCF of 47315 and 47322 is 1.
2. What are the Factors of 47315?
Answer: Factors of 47315 are 1, 5, 9463, 47315. There are 4 integers that are factors of 47315. The greatest factor of 47315 is 47315.
3. What are the Factors of 47322?
Answer: Factors of 47322 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434, 2151, 2629, 4302, 5258, 7887, 15774, 23661, 47322. There are 24 integers that are factors of 47322. The greatest factor of 47322 is 47322.
4. How to Find the GCF of 47315 and 47322?
Answer:
Greatest Common Factor of 47315 and 47322 = 1
Step 1: Find the prime factorization of 47315
47315 = 5 x 9463
Step 2: Find the prime factorization of 47322
47322 = 2 x 3 x 3 x 11 x 239
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 47315 and 47322 is 1