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 8417, 8422 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8417 and 8422 is 1.
GCF(8417,8422) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8417
19 | 8417 |
443 | 443 |
1 |
Prime factors of 8417 are 19,443. Prime factorization of 8417 in exponential form is:
8417 = 191×4431
Prime Factorization of 8422
2 | 8422 |
4211 | 4211 |
1 |
Prime factors of 8422 are 2,4211. Prime factorization of 8422 in exponential form is:
8422 = 21×42111
∴ So by taking common prime factors GCF of 8417 and 8422 is 1
Factors of 8417
List of positive integer factors of 8417 that divides 8417 without a remainder.
1,19,443,8417
Factors of 8422
List of positive integer factors of 8422 that divides 8422 without a remainder.
1,2,4211,8422
Greatest Common Factor
We found the factors and prime factorization of 8417 and 8422. The biggest common factor number is the GCF number.
So the greatest common factor 8417 and 8422 is 1.
Also check out the Least Common Multiple of 8417 and 8422
(i) The GCF of 8417 and 8422 is associative
GCF of 8417 and 8422 = GCF of 8422 and 8417
1. What is the GCF of 8417 and 8422?
Answer: GCF of 8417 and 8422 is 1.
2. What are the Factors of 8417?
Answer: Factors of 8417 are 1, 19, 443, 8417. There are 4 integers that are factors of 8417. The greatest factor of 8417 is 8417.
3. What are the Factors of 8422?
Answer: Factors of 8422 are 1, 2, 4211, 8422. There are 4 integers that are factors of 8422. The greatest factor of 8422 is 8422.
4. How to Find the GCF of 8417 and 8422?
Answer:
Greatest Common Factor of 8417 and 8422 = 1
Step 1: Find the prime factorization of 8417
8417 = 19 x 443
Step 2: Find the prime factorization of 8422
8422 = 2 x 4211
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 8417 and 8422 is 1