Greatest Common Factor of 9291 and 9297

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 9291, 9297 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9291 and 9297 is 3.

GCF(9291,9297) = 3

GCF of 9291 and 9297

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

GCF of:
and

Greatest Common Factor of 9291 and 9297

GCF of 9291 and 9297 is 3

Prime Factorization of 9291


3 9291
19 3097
163 163
1

Prime factors of 9291 are 3,19,163. Prime factorization of 9291 in exponential form is:

9291 = 31×191×1631

Prime Factorization of 9297


3 9297
3 3099
1033 1033
1

Prime factors of 9297 are 3,1033. Prime factorization of 9297 in exponential form is:

9297 = 32×10331

∴ So by taking common prime factors GCF of 9291 and 9297 is 3

Greatest Common Factor of 9291 and 9297 by matching factors method

Factors of 9291

List of positive integer factors of 9291 that divides 9291 without a remainder.

1,3,19,57,163,489,3097,9291

Factors of 9297

List of positive integer factors of 9297 that divides 9297 without a remainder.

1,3,9,1033,3099,9297

Greatest Common Factor

We found the factors and prime factorization of 9291 and 9297. The biggest common factor number is the GCF number.
So the greatest common factor 9291 and 9297 is 3.

Also check out the Least Common Multiple of 9291 and 9297

Properties of GCF 9291 and 9297

(i) The GCF of 9291 and 9297 is associative

GCF of 9291 and 9297 = GCF of 9297 and 9291

Related Greatest Common Factor of 9291

Related Greatest Common Factor of 9297

Frequently Asked Questions on GCF of 9291 and 9297

1. What is the GCF of 9291 and 9297?

Answer: GCF of 9291 and 9297 is 3.

2. What are the Factors of 9291?

Answer: Factors of 9291 are 1, 3, 19, 57, 163, 489, 3097, 9291. There are 8 integers that are factors of 9291. The greatest factor of 9291 is 9291.

3. What are the Factors of 9297?

Answer: Factors of 9297 are 1, 3, 9, 1033, 3099, 9297. There are 6 integers that are factors of 9297. The greatest factor of 9297 is 9297.

4. How to Find the GCF of 9291 and 9297?

Answer:

Greatest Common Factor of 9291 and 9297 = 3

Step 1: Find the prime factorization of 9291

9291 = 3 x 19 x 163

Step 2: Find the prime factorization of 9297

9297 = 3 x 3 x 1033

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9291 and 9297 is 3