Greatest Common Factor of 9465 and 9470

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, 9470 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9465 and 9470 is 5.

GCF(9465,9470) = 5

GCF of 9465 and 9470

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

GCF of:
and

Greatest Common Factor of 9465 and 9470

GCF of 9465 and 9470 is 5

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 9470


2 9470
5 4735
947 947
1

Prime factors of 9470 are 2,5,947. Prime factorization of 9470 in exponential form is:

9470 = 21×51×9471

∴ So by taking common prime factors GCF of 9465 and 9470 is 5

Greatest Common Factor of 9465 and 9470 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 9470

List of positive integer factors of 9470 that divides 9470 without a remainder.

1,2,5,10,947,1894,4735,9470

Greatest Common Factor

We found the factors and prime factorization of 9465 and 9470. The biggest common factor number is the GCF number.
So the greatest common factor 9465 and 9470 is 5.

Also check out the Least Common Multiple of 9465 and 9470

Properties of GCF 9465 and 9470

(i) The GCF of 9465 and 9470 is associative

GCF of 9465 and 9470 = GCF of 9470 and 9465

Related Greatest Common Factor of 9465

Related Greatest Common Factor of 9470

Frequently Asked Questions on GCF of 9465 and 9470

1. What is the GCF of 9465 and 9470?

Answer: GCF of 9465 and 9470 is 5.

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 9470?

Answer: Factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470. There are 8 integers that are factors of 9470. The greatest factor of 9470 is 9470.

4. How to Find the GCF of 9465 and 9470?

Answer:

Greatest Common Factor of 9465 and 9470 = 5

Step 1: Find the prime factorization of 9465

9465 = 3 x 5 x 631

Step 2: Find the prime factorization of 9470

9470 = 2 x 5 x 947

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9465 and 9470 is 5