Greatest Common Factor of 9468 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 9468, 9471 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9468 and 9471 is 3.

GCF(9468,9471) = 3

GCF of 9468 and 9471

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

GCF of:
and

Greatest Common Factor of 9468 and 9471

GCF of 9468 and 9471 is 3

Prime Factorization of 9468


2 9468
2 4734
3 2367
3 789
263 263
1

Prime factors of 9468 are 2,3,263. Prime factorization of 9468 in exponential form is:

9468 = 22×32×2631

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 9468 and 9471 is 3

Greatest Common Factor of 9468 and 9471 by matching factors method

Factors of 9468

List of positive integer factors of 9468 that divides 9468 without a remainder.

1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468

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 9468 and 9471. The biggest common factor number is the GCF number.
So the greatest common factor 9468 and 9471 is 3.

Also check out the Least Common Multiple of 9468 and 9471

Properties of GCF 9468 and 9471

(i) The GCF of 9468 and 9471 is associative

GCF of 9468 and 9471 = GCF of 9471 and 9468

Related Greatest Common Factor of 9468

Related Greatest Common Factor of 9471

Frequently Asked Questions on GCF of 9468 and 9471

1. What is the GCF of 9468 and 9471?

Answer: GCF of 9468 and 9471 is 3.

2. What are the Factors of 9468?

Answer: Factors of 9468 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468. There are 18 integers that are factors of 9468. The greatest factor of 9468 is 9468.

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 9468 and 9471?

Answer:

Greatest Common Factor of 9468 and 9471 = 3

Step 1: Find the prime factorization of 9468

9468 = 2 x 2 x 3 x 3 x 263

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 9468 and 9471 is 3