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, 8425 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8421 and 8425 is 1.
GCF(8421,8425) = 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 8425
5 | 8425 |
5 | 1685 |
337 | 337 |
1 |
Prime factors of 8425 are 5,337. Prime factorization of 8425 in exponential form is:
8425 = 52×3371
∴ So by taking common prime factors GCF of 8421 and 8425 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 8425
List of positive integer factors of 8425 that divides 8425 without a remainder.
1,5,25,337,1685,8425
Greatest Common Factor
We found the factors and prime factorization of 8421 and 8425. The biggest common factor number is the GCF number.
So the greatest common factor 8421 and 8425 is 1.
Also check out the Least Common Multiple of 8421 and 8425
(i) The GCF of 8421 and 8425 is associative
GCF of 8421 and 8425 = GCF of 8425 and 8421
1. What is the GCF of 8421 and 8425?
Answer: GCF of 8421 and 8425 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 8425?
Answer: Factors of 8425 are 1, 5, 25, 337, 1685, 8425. There are 6 integers that are factors of 8425. The greatest factor of 8425 is 8425.
4. How to Find the GCF of 8421 and 8425?
Answer:
Greatest Common Factor of 8421 and 8425 = 1
Step 1: Find the prime factorization of 8421
8421 = 3 x 7 x 401
Step 2: Find the prime factorization of 8425
8425 = 5 x 5 x 337
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 8425 is 1