Greatest Common Factor of 9209 and 9217

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 9209, 9217 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9209 and 9217 is 1.

GCF(9209,9217) = 1

GCF of 9209 and 9217

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

GCF of:
and

Greatest Common Factor of 9209 and 9217

GCF of 9209 and 9217 is 1

Prime Factorization of 9209


9209 9209
1

Prime factors of 9209 are 9209. Prime factorization of 9209 in exponential form is:

9209 = 92091

Prime Factorization of 9217


13 9217
709 709
1

Prime factors of 9217 are 13.Prime factorization of 9217 in exponential form is:

9217 = 131×7091

∴ So by taking common prime factors GCF of 9209 and 9217 is 1

Greatest Common Factor of 9209 and 9217 by matching factors method

Factors of 9209

List of positive integer factors of 9209 that divides 9209 without a remainder.

1,9209

Factors of 9217

List of positive integer factors of 9217 that divides 9217 without a remainder.

1,13,709,9217

Greatest Common Factor

We found the factors and prime factorization of 9209 and 9217. The biggest common factor number is the GCF number.
So the greatest common factor 9209 and 9217 is 1.

Also check out the Least Common Multiple of 9209 and 9217

Properties of GCF 9209 and 9217

(i) The GCF of 9209 and 9217 is associative

GCF of 9209 and 9217 = GCF of 9217 and 9209

Related Greatest Common Factor of 9209

Related Greatest Common Factor of 9217

Frequently Asked Questions on GCF of 9209 and 9217

1. What is the GCF of 9209 and 9217?

Answer: GCF of 9209 and 9217 is 1.

2. What are the Factors of 9209?

Answer: Factors of 9209 are 1, 9209. There are 2 integers that are factors of 9209. The greatest factor of 9209 is 9209.

3. What are the Factors of 9217?

Answer: Factors of 9217 are 1, 13, 709, 9217. There are 4 integers that are factors of 9217. The greatest factor of 9217 is 9217.

4. How to Find the GCF of 9209 and 9217?

Answer:

Greatest Common Factor of 9209 and 9217 = 1

Step 1: Find the prime factorization of 9209

9209 = 9209

Step 2: Find the prime factorization of 9217

9217 = 13 x 709

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 9209 and 9217 is 1