Greatest Common Factor of 9471 and 9477

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, 9477 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9471 and 9477 is 3.

GCF(9471,9477) = 3

GCF of 9471 and 9477

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

GCF of:
and

Greatest Common Factor of 9471 and 9477

GCF of 9471 and 9477 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 9477


3 9477
3 3159
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 9477 are 3,13. Prime factorization of 9477 in exponential form is:

9477 = 36×131

∴ So by taking common prime factors GCF of 9471 and 9477 is 3

Greatest Common Factor of 9471 and 9477 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 9477

List of positive integer factors of 9477 that divides 9477 without a remainder.

1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477

Greatest Common Factor

We found the factors and prime factorization of 9471 and 9477. The biggest common factor number is the GCF number.
So the greatest common factor 9471 and 9477 is 3.

Also check out the Least Common Multiple of 9471 and 9477

Properties of GCF 9471 and 9477

(i) The GCF of 9471 and 9477 is associative

GCF of 9471 and 9477 = GCF of 9477 and 9471

Related Greatest Common Factor of 9471

Related Greatest Common Factor of 9477

Frequently Asked Questions on GCF of 9471 and 9477

1. What is the GCF of 9471 and 9477?

Answer: GCF of 9471 and 9477 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 9477?

Answer: Factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477. There are 14 integers that are factors of 9477. The greatest factor of 9477 is 9477.

4. How to Find the GCF of 9471 and 9477?

Answer:

Greatest Common Factor of 9471 and 9477 = 3

Step 1: Find the prime factorization of 9471

9471 = 3 x 7 x 11 x 41

Step 2: Find the prime factorization of 9477

9477 = 3 x 3 x 3 x 3 x 3 x 3 x 13

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 9477 is 3