Greatest Common Factor of 9460 and 9465

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 9460, 9465 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9460 and 9465 is 5.

GCF(9460,9465) = 5

GCF of 9460 and 9465

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

GCF of:
and

Greatest Common Factor of 9460 and 9465

GCF of 9460 and 9465 is 5

Prime Factorization of 9460


2 9460
2 4730
5 2365
11 473
43 43
1

Prime factors of 9460 are 2,5,11,43. Prime factorization of 9460 in exponential form is:

9460 = 22×51×111×431

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

∴ So by taking common prime factors GCF of 9460 and 9465 is 5

Greatest Common Factor of 9460 and 9465 by matching factors method

Factors of 9460

List of positive integer factors of 9460 that divides 9460 without a remainder.

1,2,4,5,10,11,20,22,43,44,55,86,110,172,215,220,430,473,860,946,1892,2365,4730,9460

Factors of 9465

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

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

Greatest Common Factor

We found the factors and prime factorization of 9460 and 9465. The biggest common factor number is the GCF number.
So the greatest common factor 9460 and 9465 is 5.

Also check out the Least Common Multiple of 9460 and 9465

Properties of GCF 9460 and 9465

(i) The GCF of 9460 and 9465 is associative

GCF of 9460 and 9465 = GCF of 9465 and 9460

Related Greatest Common Factor of 9460

Related Greatest Common Factor of 9465

Frequently Asked Questions on GCF of 9460 and 9465

1. What is the GCF of 9460 and 9465?

Answer: GCF of 9460 and 9465 is 5.

2. What are the Factors of 9460?

Answer: Factors of 9460 are 1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460. There are 24 integers that are factors of 9460. The greatest factor of 9460 is 9460.

3. 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.

4. How to Find the GCF of 9460 and 9465?

Answer:

Greatest Common Factor of 9460 and 9465 = 5

Step 1: Find the prime factorization of 9460

9460 = 2 x 2 x 5 x 11 x 43

Step 2: Find the prime factorization of 9465

9465 = 3 x 5 x 631

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 9460 and 9465 is 5