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, 16418 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 16415 and 16418 is 1.
GCF(16415,16418) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 16418
2 | 16418 |
8209 | 8209 |
1 |
Prime factors of 16418 are 2,8209. Prime factorization of 16418 in exponential form is:
16418 = 21×82091
∴ So by taking common prime factors GCF of 16415 and 16418 is 1
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 16418
List of positive integer factors of 16418 that divides 16418 without a remainder.
1,2,8209,16418
Greatest Common Factor
We found the factors and prime factorization of 16415 and 16418. The biggest common factor number is the GCF number.
So the greatest common factor 16415 and 16418 is 1.
Also check out the Least Common Multiple of 16415 and 16418
(i) The GCF of 16415 and 16418 is associative
GCF of 16415 and 16418 = GCF of 16418 and 16415
1. What is the GCF of 16415 and 16418?
Answer: GCF of 16415 and 16418 is 1.
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 16418?
Answer: Factors of 16418 are 1, 2, 8209, 16418. There are 4 integers that are factors of 16418. The greatest factor of 16418 is 16418.
4. How to Find the GCF of 16415 and 16418?
Answer:
Greatest Common Factor of 16415 and 16418 = 1
Step 1: Find the prime factorization of 16415
16415 = 5 x 7 x 7 x 67
Step 2: Find the prime factorization of 16418
16418 = 2 x 8209
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 16415 and 16418 is 1