Greatest Common Factor of 9474 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 9474, 9477 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9474 and 9477 is 3.

GCF(9474,9477) = 3

GCF of 9474 and 9477

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

GCF of:
and

Greatest Common Factor of 9474 and 9477

GCF of 9474 and 9477 is 3

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

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 9474 and 9477 is 3

Greatest Common Factor of 9474 and 9477 by matching factors method

Factors of 9474

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

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

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 9474 and 9477. The biggest common factor number is the GCF number.
So the greatest common factor 9474 and 9477 is 3.

Also check out the Least Common Multiple of 9474 and 9477

Properties of GCF 9474 and 9477

(i) The GCF of 9474 and 9477 is associative

GCF of 9474 and 9477 = GCF of 9477 and 9474

Related Greatest Common Factor of 9474

Related Greatest Common Factor of 9477

Frequently Asked Questions on GCF of 9474 and 9477

1. What is the GCF of 9474 and 9477?

Answer: GCF of 9474 and 9477 is 3.

2. 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.

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 9474 and 9477?

Answer:

Greatest Common Factor of 9474 and 9477 = 3

Step 1: Find the prime factorization of 9474

9474 = 2 x 3 x 1579

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 9474 and 9477 is 3