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 8421, 8423 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8421 and 8423 is 1.
GCF(8421,8423) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8421
3 | 8421 |
7 | 2807 |
401 | 401 |
1 |
Prime factors of 8421 are 3,7,401. Prime factorization of 8421 in exponential form is:
8421 = 31×71×4011
Prime Factorization of 8423
8423 | 8423 |
1 |
Prime factors of 8423 are 8423. Prime factorization of 8423 in exponential form is:
8423 = 84231
∴ So by taking common prime factors GCF of 8421 and 8423 is 1
Factors of 8421
List of positive integer factors of 8421 that divides 8421 without a remainder.
1,3,7,21,401,1203,2807,8421
Factors of 8423
List of positive integer factors of 8423 that divides 8423 without a remainder.
1,8423
Greatest Common Factor
We found the factors and prime factorization of 8421 and 8423. The biggest common factor number is the GCF number.
So the greatest common factor 8421 and 8423 is 1.
Also check out the Least Common Multiple of 8421 and 8423
(i) The GCF of 8421 and 8423 is associative
GCF of 8421 and 8423 = GCF of 8423 and 8421
1. What is the GCF of 8421 and 8423?
Answer: GCF of 8421 and 8423 is 1.
2. What are the Factors of 8421?
Answer: Factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421. There are 8 integers that are factors of 8421. The greatest factor of 8421 is 8421.
3. What are the Factors of 8423?
Answer: Factors of 8423 are 1, 8423. There are 2 integers that are factors of 8423. The greatest factor of 8423 is 8423.
4. How to Find the GCF of 8421 and 8423?
Answer:
Greatest Common Factor of 8421 and 8423 = 1
Step 1: Find the prime factorization of 8421
8421 = 3 x 7 x 401
Step 2: Find the prime factorization of 8423
8423 = 8423
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 8421 and 8423 is 1