Greatest Common Factor of 16415 and 16422
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 16415, 16422 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 16415 and 16422 is 7.
GCF(16415,16422) = 7
GCF of 16415 and 16422
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 16415 and 16422 by prime factorization method
- Greatest Common Factor of 16415 and 16422 by matching factors method
GCF of 16415 and 16422 is 7
Prime Factorization of 16415
| 5 | 16415 |
| 7 | 3283 |
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 16415 are 5,7,67. Prime factorization of 16415 in exponential form is:
16415 = 51×72×671
Prime Factorization of 16422
| 2 | 16422 |
| 3 | 8211 |
| 7 | 2737 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 16422 are 2,3,7,17,23. Prime factorization of 16422 in exponential form is:
16422 = 21×31×71×171×231
∴ So by taking common prime factors GCF of 16415 and 16422 is 7
Greatest Common Factor of 16415 and 16422 by matching factors method
Factors of 16415
List of positive integer factors of 16415 that divides 16415 without a remainder.
1,5,7,35,49,67,245,335,469,2345,3283,16415
Factors of 16422
List of positive integer factors of 16422 that divides 16422 without a remainder.
1,2,3,6,7,14,17,21,23,34,42,46,51,69,102,119,138,161,238,322,357,391,483,714,782,966,1173,2346,2737,5474,8211,16422
Greatest Common Factor
We found the factors and prime factorization of 16415 and 16422. The biggest common factor number is the GCF number.
So the greatest common factor 16415 and 16422 is 7.
Also check out the Least Common Multiple of 16415 and 16422
Properties of GCF 16415 and 16422
(i) The GCF of 16415 and 16422 is associative
GCF of 16415 and 16422 = GCF of 16422 and 16415
Related Greatest Common Factor of 16415
Related Greatest Common Factor of 16422
Frequently Asked Questions on GCF of 16415 and 16422
1. What is the GCF of 16415 and 16422?
Answer: GCF of 16415 and 16422 is 7.
2. What are the Factors of 16415?
Answer: Factors of 16415 are 1, 5, 7, 35, 49, 67, 245, 335, 469, 2345, 3283, 16415. There are 12 integers that are factors of 16415. The greatest factor of 16415 is 16415.
3. What are the Factors of 16422?
Answer: Factors of 16422 are 1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119, 138, 161, 238, 322, 357, 391, 483, 714, 782, 966, 1173, 2346, 2737, 5474, 8211, 16422. There are 32 integers that are factors of 16422. The greatest factor of 16422 is 16422.
4. How to Find the GCF of 16415 and 16422?
Answer:
Greatest Common Factor of 16415 and 16422 = 7
Step 1: Find the prime factorization of 16415
16415 = 5 x 7 x 7 x 67
Step 2: Find the prime factorization of 16422
16422 = 2 x 3 x 7 x 17 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 16415 and 16422 is 7