Greatest Common Factor of 9471 and 9474

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 9471, 9474 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9471 and 9474 is 3.

GCF(9471,9474) = 3

GCF of 9471 and 9474

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

GCF of:
and

Greatest Common Factor of 9471 and 9474

GCF of 9471 and 9474 is 3

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

Prime Factorization of 9474


2 9474
3 4737
1579 1579
1

Prime factors of 9474 are 2,3,1579. Prime factorization of 9474 in exponential form is:

9474 = 21×31×15791

∴ So by taking common prime factors GCF of 9471 and 9474 is 3

Greatest Common Factor of 9471 and 9474 by matching factors method

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

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1,2,3,6,1579,3158,4737,9474

Greatest Common Factor

We found the factors and prime factorization of 9471 and 9474. The biggest common factor number is the GCF number.
So the greatest common factor 9471 and 9474 is 3.

Also check out the Least Common Multiple of 9471 and 9474

Properties of GCF 9471 and 9474

(i) The GCF of 9471 and 9474 is associative

GCF of 9471 and 9474 = GCF of 9474 and 9471

Related Greatest Common Factor of 9471

Related Greatest Common Factor of 9474

Frequently Asked Questions on GCF of 9471 and 9474

1. What is the GCF of 9471 and 9474?

Answer: GCF of 9471 and 9474 is 3.

2. 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.

3. What are the Factors of 9474?

Answer: Factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474. There are 8 integers that are factors of 9474. The greatest factor of 9474 is 9474.

4. How to Find the GCF of 9471 and 9474?

Answer:

Greatest Common Factor of 9471 and 9474 = 3

Step 1: Find the prime factorization of 9471

9471 = 3 x 7 x 11 x 41

Step 2: Find the prime factorization of 9474

9474 = 2 x 3 x 1579

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 9471 and 9474 is 3