Greatest Common Factor of 9465 and 9471

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 9465, 9471 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9465 and 9471 is 3.

GCF(9465,9471) = 3

GCF of 9465 and 9471

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

GCF of:
and

Greatest Common Factor of 9465 and 9471

GCF of 9465 and 9471 is 3

Prime Factorization of 9465


3 9465
5 3155
631 631
1

Prime factors of 9465 are 3,5,631. Prime factorization of 9465 in exponential form is:

9465 = 31×51×6311

Prime Factorization of 9471


3 9471
7 3157
11 451
41 41
1

Prime factors of 9471 are 3,7,11,41. Prime factorization of 9471 in exponential form is:

9471 = 31×71×111×411

∴ So by taking common prime factors GCF of 9465 and 9471 is 3

Greatest Common Factor of 9465 and 9471 by matching factors method

Factors of 9465

List of positive integer factors of 9465 that divides 9465 without a remainder.

1,3,5,15,631,1893,3155,9465

Factors of 9471

List of positive integer factors of 9471 that divides 9471 without a remainder.

1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471

Greatest Common Factor

We found the factors and prime factorization of 9465 and 9471. The biggest common factor number is the GCF number.
So the greatest common factor 9465 and 9471 is 3.

Also check out the Least Common Multiple of 9465 and 9471

Properties of GCF 9465 and 9471

(i) The GCF of 9465 and 9471 is associative

GCF of 9465 and 9471 = GCF of 9471 and 9465

Related Greatest Common Factor of 9465

Related Greatest Common Factor of 9471

Frequently Asked Questions on GCF of 9465 and 9471

1. What is the GCF of 9465 and 9471?

Answer: GCF of 9465 and 9471 is 3.

2. What are the Factors of 9465?

Answer: Factors of 9465 are 1, 3, 5, 15, 631, 1893, 3155, 9465. There are 8 integers that are factors of 9465. The greatest factor of 9465 is 9465.

3. What are the Factors of 9471?

Answer: Factors of 9471 are 1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 3157, 9471. There are 16 integers that are factors of 9471. The greatest factor of 9471 is 9471.

4. How to Find the GCF of 9465 and 9471?

Answer:

Greatest Common Factor of 9465 and 9471 = 3

Step 1: Find the prime factorization of 9465

9465 = 3 x 5 x 631

Step 2: Find the prime factorization of 9471

9471 = 3 x 7 x 11 x 41

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 9465 and 9471 is 3