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 6417, 6418 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6417 and 6418 is 1.
GCF(6417,6418) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6417
3 | 6417 |
3 | 2139 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 6417 are 3,23,31. Prime factorization of 6417 in exponential form is:
6417 = 32×231×311
Prime Factorization of 6418
2 | 6418 |
3209 | 3209 |
1 |
Prime factors of 6418 are 2,3209. Prime factorization of 6418 in exponential form is:
6418 = 21×32091
∴ So by taking common prime factors GCF of 6417 and 6418 is 1
Factors of 6417
List of positive integer factors of 6417 that divides 6417 without a remainder.
1,3,9,23,31,69,93,207,279,713,2139,6417
Factors of 6418
List of positive integer factors of 6418 that divides 6418 without a remainder.
1,2,3209,6418
Greatest Common Factor
We found the factors and prime factorization of 6417 and 6418. The biggest common factor number is the GCF number.
So the greatest common factor 6417 and 6418 is 1.
Also check out the Least Common Multiple of 6417 and 6418
(i) The GCF of 6417 and 6418 is associative
GCF of 6417 and 6418 = GCF of 6418 and 6417
1. What is the GCF of 6417 and 6418?
Answer: GCF of 6417 and 6418 is 1.
2. What are the Factors of 6417?
Answer: Factors of 6417 are 1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417. There are 12 integers that are factors of 6417. The greatest factor of 6417 is 6417.
3. What are the Factors of 6418?
Answer: Factors of 6418 are 1, 2, 3209, 6418. There are 4 integers that are factors of 6418. The greatest factor of 6418 is 6418.
4. How to Find the GCF of 6417 and 6418?
Answer:
Greatest Common Factor of 6417 and 6418 = 1
Step 1: Find the prime factorization of 6417
6417 = 3 x 3 x 23 x 31
Step 2: Find the prime factorization of 6418
6418 = 2 x 3209
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 6417 and 6418 is 1