Greatest Common Factor of 9484 and 9490

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 9484, 9490 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9484 and 9490 is 2.

GCF(9484,9490) = 2

GCF of 9484 and 9490

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

GCF of:
and

Greatest Common Factor of 9484 and 9490

GCF of 9484 and 9490 is 2

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

Prime Factorization of 9490


2 9490
5 4745
13 949
73 73
1

Prime factors of 9490 are 2,5,13,73. Prime factorization of 9490 in exponential form is:

9490 = 21×51×131×731

∴ So by taking common prime factors GCF of 9484 and 9490 is 2

Greatest Common Factor of 9484 and 9490 by matching factors method

Factors of 9484

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

1,2,4,2371,4742,9484

Factors of 9490

List of positive integer factors of 9490 that divides 9490 without a remainder.

1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490

Greatest Common Factor

We found the factors and prime factorization of 9484 and 9490. The biggest common factor number is the GCF number.
So the greatest common factor 9484 and 9490 is 2.

Also check out the Least Common Multiple of 9484 and 9490

Properties of GCF 9484 and 9490

(i) The GCF of 9484 and 9490 is associative

GCF of 9484 and 9490 = GCF of 9490 and 9484

Related Greatest Common Factor of 9484

Related Greatest Common Factor of 9490

Frequently Asked Questions on GCF of 9484 and 9490

1. What is the GCF of 9484 and 9490?

Answer: GCF of 9484 and 9490 is 2.

2. 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.

3. What are the Factors of 9490?

Answer: Factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490. There are 16 integers that are factors of 9490. The greatest factor of 9490 is 9490.

4. How to Find the GCF of 9484 and 9490?

Answer:

Greatest Common Factor of 9484 and 9490 = 2

Step 1: Find the prime factorization of 9484

9484 = 2 x 2 x 2371

Step 2: Find the prime factorization of 9490

9490 = 2 x 5 x 13 x 73

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9484 and 9490 is 2