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 8419, 8422 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8419 and 8422 is 1.
GCF(8419,8422) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8419
8419 | 8419 |
1 |
Prime factors of 8419 are 8419. Prime factorization of 8419 in exponential form is:
8419 = 84191
Prime Factorization of 8422
2 | 8422 |
4211 | 4211 |
1 |
Prime factors of 8422 are 2.Prime factorization of 8422 in exponential form is:
8422 = 21×42111
∴ So by taking common prime factors GCF of 8419 and 8422 is 1
Factors of 8419
List of positive integer factors of 8419 that divides 8419 without a remainder.
1,8419
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 8419 and 8422. The biggest common factor number is the GCF number.
So the greatest common factor 8419 and 8422 is 1.
Also check out the Least Common Multiple of 8419 and 8422
(i) The GCF of 8419 and 8422 is associative
GCF of 8419 and 8422 = GCF of 8422 and 8419
1. What is the GCF of 8419 and 8422?
Answer: GCF of 8419 and 8422 is 1.
2. What are the Factors of 8419?
Answer: Factors of 8419 are 1, 8419. There are 2 integers that are factors of 8419. The greatest factor of 8419 is 8419.
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 8419 and 8422?
Answer:
Greatest Common Factor of 8419 and 8422 = 1
Step 1: Find the prime factorization of 8419
8419 = 8419
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 8419 and 8422 is 1