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 316415, 316422 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 316415 and 316422 is 1.
GCF(316415,316422) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 316415
5 | 316415 |
11 | 63283 |
11 | 5753 |
523 | 523 |
1 |
Prime factors of 316415 are 5,11,523. Prime factorization of 316415 in exponential form is:
316415 = 51×112×5231
Prime Factorization of 316422
2 | 316422 |
3 | 158211 |
3 | 52737 |
17579 | 17579 |
1 |
Prime factors of 316422 are 2,3,17579. Prime factorization of 316422 in exponential form is:
316422 = 21×32×175791
∴ So by taking common prime factors GCF of 316415 and 316422 is 1
Factors of 316415
List of positive integer factors of 316415 that divides 316415 without a remainder.
1,5,11,55,121,523,605,2615,5753,28765,63283,316415
Factors of 316422
List of positive integer factors of 316422 that divides 316422 without a remainder.
1,2,3,6,9,18,17579,35158,52737,105474,158211,316422
Greatest Common Factor
We found the factors and prime factorization of 316415 and 316422. The biggest common factor number is the GCF number.
So the greatest common factor 316415 and 316422 is 1.
Also check out the Least Common Multiple of 316415 and 316422
(i) The GCF of 316415 and 316422 is associative
GCF of 316415 and 316422 = GCF of 316422 and 316415
1. What is the GCF of 316415 and 316422?
Answer: GCF of 316415 and 316422 is 1.
2. What are the Factors of 316415?
Answer: Factors of 316415 are 1, 5, 11, 55, 121, 523, 605, 2615, 5753, 28765, 63283, 316415. There are 12 integers that are factors of 316415. The greatest factor of 316415 is 316415.
3. What are the Factors of 316422?
Answer: Factors of 316422 are 1, 2, 3, 6, 9, 18, 17579, 35158, 52737, 105474, 158211, 316422. There are 12 integers that are factors of 316422. The greatest factor of 316422 is 316422.
4. How to Find the GCF of 316415 and 316422?
Answer:
Greatest Common Factor of 316415 and 316422 = 1
Step 1: Find the prime factorization of 316415
316415 = 5 x 11 x 11 x 523
Step 2: Find the prime factorization of 316422
316422 = 2 x 3 x 3 x 17579
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 316415 and 316422 is 1