Greatest Common Factor of 9476 and 9484

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 9476, 9484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9476 and 9484 is 4.

GCF(9476,9484) = 4

GCF of 9476 and 9484

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

GCF of:
and

Greatest Common Factor of 9476 and 9484

GCF of 9476 and 9484 is 4

Prime Factorization of 9476


2 9476
2 4738
23 2369
103 103
1

Prime factors of 9476 are 2,23,103. Prime factorization of 9476 in exponential form is:

9476 = 22×231×1031

Prime Factorization of 9484


2 9484
2 4742
2371 2371
1

Prime factors of 9484 are 2,2371. Prime factorization of 9484 in exponential form is:

9484 = 22×23711

∴ So by taking common prime factors GCF of 9476 and 9484 is 4

Greatest Common Factor of 9476 and 9484 by matching factors method

Factors of 9476

List of positive integer factors of 9476 that divides 9476 without a remainder.

1,2,4,23,46,92,103,206,412,2369,4738,9476

Factors of 9484

List of positive integer factors of 9484 that divides 9484 without a remainder.

1,2,4,2371,4742,9484

Greatest Common Factor

We found the factors and prime factorization of 9476 and 9484. The biggest common factor number is the GCF number.
So the greatest common factor 9476 and 9484 is 4.

Also check out the Least Common Multiple of 9476 and 9484

Properties of GCF 9476 and 9484

(i) The GCF of 9476 and 9484 is associative

GCF of 9476 and 9484 = GCF of 9484 and 9476

Related Greatest Common Factor of 9476

Related Greatest Common Factor of 9484

Frequently Asked Questions on GCF of 9476 and 9484

1. What is the GCF of 9476 and 9484?

Answer: GCF of 9476 and 9484 is 4.

2. What are the Factors of 9476?

Answer: Factors of 9476 are 1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476. There are 12 integers that are factors of 9476. The greatest factor of 9476 is 9476.

3. What are the Factors of 9484?

Answer: Factors of 9484 are 1, 2, 4, 2371, 4742, 9484. There are 6 integers that are factors of 9484. The greatest factor of 9484 is 9484.

4. How to Find the GCF of 9476 and 9484?

Answer:

Greatest Common Factor of 9476 and 9484 = 4

Step 1: Find the prime factorization of 9476

9476 = 2 x 2 x 23 x 103

Step 2: Find the prime factorization of 9484

9484 = 2 x 2 x 2371

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9476 and 9484 is 4