Greatest Common Factor of 8209 and 8217

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, 8217 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8209 and 8217 is 1.

GCF(8209,8217) = 1

GCF of 8209 and 8217

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 8209 and 8217

GCF of 8209 and 8217 is 1

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 8217


3 8217
3 2739
11 913
83 83
1

Prime factors of 8217 are 3.Prime factorization of 8217 in exponential form is:

8217 = 32×111×831

∴ So by taking common prime factors GCF of 8209 and 8217 is 1

Greatest Common Factor of 8209 and 8217 by matching factors method

Factors of 8209

List of positive integer factors of 8209 that divides 8209 without a remainder.

1,8209

Factors of 8217

List of positive integer factors of 8217 that divides 8217 without a remainder.

1,3,9,11,33,83,99,249,747,913,2739,8217

Greatest Common Factor

We found the factors and prime factorization of 8209 and 8217. The biggest common factor number is the GCF number.
So the greatest common factor 8209 and 8217 is 1.

Also check out the Least Common Multiple of 8209 and 8217

Properties of GCF 8209 and 8217

(i) The GCF of 8209 and 8217 is associative

GCF of 8209 and 8217 = GCF of 8217 and 8209

Related Greatest Common Factor of 8209

Related Greatest Common Factor of 8217

Frequently Asked Questions on GCF of 8209 and 8217

1. What is the GCF of 8209 and 8217?

Answer: GCF of 8209 and 8217 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 8217?

Answer: Factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217. There are 12 integers that are factors of 8217. The greatest factor of 8217 is 8217.

4. How to Find the GCF of 8209 and 8217?

Answer:

Greatest Common Factor of 8209 and 8217 = 1

Step 1: Find the prime factorization of 8209

8209 = 8209

Step 2: Find the prime factorization of 8217

8217 = 3 x 3 x 11 x 83

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 8217 is 1