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 8435, 8443 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8435 and 8443 is 1.
GCF(8435,8443) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8435
5 | 8435 |
7 | 1687 |
241 | 241 |
1 |
Prime factors of 8435 are 5,7,241. Prime factorization of 8435 in exponential form is:
8435 = 51×71×2411
Prime Factorization of 8443
8443 | 8443 |
1 |
Prime factors of 8443 are 8443. Prime factorization of 8443 in exponential form is:
8443 = 84431
∴ So by taking common prime factors GCF of 8435 and 8443 is 1
Factors of 8435
List of positive integer factors of 8435 that divides 8435 without a remainder.
1,5,7,35,241,1205,1687,8435
Factors of 8443
List of positive integer factors of 8443 that divides 8443 without a remainder.
1,8443
Greatest Common Factor
We found the factors and prime factorization of 8435 and 8443. The biggest common factor number is the GCF number.
So the greatest common factor 8435 and 8443 is 1.
Also check out the Least Common Multiple of 8435 and 8443
(i) The GCF of 8435 and 8443 is associative
GCF of 8435 and 8443 = GCF of 8443 and 8435
1. What is the GCF of 8435 and 8443?
Answer: GCF of 8435 and 8443 is 1.
2. What are the Factors of 8435?
Answer: Factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435. There are 8 integers that are factors of 8435. The greatest factor of 8435 is 8435.
3. What are the Factors of 8443?
Answer: Factors of 8443 are 1, 8443. There are 2 integers that are factors of 8443. The greatest factor of 8443 is 8443.
4. How to Find the GCF of 8435 and 8443?
Answer:
Greatest Common Factor of 8435 and 8443 = 1
Step 1: Find the prime factorization of 8435
8435 = 5 x 7 x 241
Step 2: Find the prime factorization of 8443
8443 = 8443
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 8435 and 8443 is 1