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 8199, 8203 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8199 and 8203 is 1.
GCF(8199,8203) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8199
3 | 8199 |
3 | 2733 |
911 | 911 |
1 |
Prime factors of 8199 are 3,911. Prime factorization of 8199 in exponential form is:
8199 = 32×9111
Prime Factorization of 8203
13 | 8203 |
631 | 631 |
1 |
Prime factors of 8203 are 13,631. Prime factorization of 8203 in exponential form is:
8203 = 131×6311
∴ So by taking common prime factors GCF of 8199 and 8203 is 1
Factors of 8199
List of positive integer factors of 8199 that divides 8199 without a remainder.
1,3,9,911,2733,8199
Factors of 8203
List of positive integer factors of 8203 that divides 8203 without a remainder.
1,13,631,8203
Greatest Common Factor
We found the factors and prime factorization of 8199 and 8203. The biggest common factor number is the GCF number.
So the greatest common factor 8199 and 8203 is 1.
Also check out the Least Common Multiple of 8199 and 8203
(i) The GCF of 8199 and 8203 is associative
GCF of 8199 and 8203 = GCF of 8203 and 8199
1. What is the GCF of 8199 and 8203?
Answer: GCF of 8199 and 8203 is 1.
2. What are the Factors of 8199?
Answer: Factors of 8199 are 1, 3, 9, 911, 2733, 8199. There are 6 integers that are factors of 8199. The greatest factor of 8199 is 8199.
3. What are the Factors of 8203?
Answer: Factors of 8203 are 1, 13, 631, 8203. There are 4 integers that are factors of 8203. The greatest factor of 8203 is 8203.
4. How to Find the GCF of 8199 and 8203?
Answer:
Greatest Common Factor of 8199 and 8203 = 1
Step 1: Find the prime factorization of 8199
8199 = 3 x 3 x 911
Step 2: Find the prime factorization of 8203
8203 = 13 x 631
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 8199 and 8203 is 1