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 8209, 8213 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8209 and 8213 is 1.
GCF(8209,8213) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8209
8209 | 8209 |
1 |
Prime factors of 8209 are 8209. Prime factorization of 8209 in exponential form is:
8209 = 82091
Prime Factorization of 8213
43 | 8213 |
191 | 191 |
1 |
Prime factors of 8213 are 43.Prime factorization of 8213 in exponential form is:
8213 = 431×1911
∴ So by taking common prime factors GCF of 8209 and 8213 is 1
Factors of 8209
List of positive integer factors of 8209 that divides 8209 without a remainder.
1,8209
Factors of 8213
List of positive integer factors of 8213 that divides 8213 without a remainder.
1,43,191,8213
Greatest Common Factor
We found the factors and prime factorization of 8209 and 8213. The biggest common factor number is the GCF number.
So the greatest common factor 8209 and 8213 is 1.
Also check out the Least Common Multiple of 8209 and 8213
(i) The GCF of 8209 and 8213 is associative
GCF of 8209 and 8213 = GCF of 8213 and 8209
1. What is the GCF of 8209 and 8213?
Answer: GCF of 8209 and 8213 is 1.
2. What are the Factors of 8209?
Answer: Factors of 8209 are 1, 8209. There are 2 integers that are factors of 8209. The greatest factor of 8209 is 8209.
3. What are the Factors of 8213?
Answer: Factors of 8213 are 1, 43, 191, 8213. There are 4 integers that are factors of 8213. The greatest factor of 8213 is 8213.
4. How to Find the GCF of 8209 and 8213?
Answer:
Greatest Common Factor of 8209 and 8213 = 1
Step 1: Find the prime factorization of 8209
8209 = 8209
Step 2: Find the prime factorization of 8213
8213 = 43 x 191
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 8209 and 8213 is 1