Greatest Common Factor of 9594 and 9596

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 9594, 9596 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9594 and 9596 is 2.

GCF(9594,9596) = 2

GCF of 9594 and 9596

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

GCF of:
and

Greatest Common Factor of 9594 and 9596

GCF of 9594 and 9596 is 2

Prime Factorization of 9594


2 9594
3 4797
3 1599
13 533
41 41
1

Prime factors of 9594 are 2,3,13,41. Prime factorization of 9594 in exponential form is:

9594 = 21×32×131×411

Prime Factorization of 9596


2 9596
2 4798
2399 2399
1

Prime factors of 9596 are 2,2399. Prime factorization of 9596 in exponential form is:

9596 = 22×23991

∴ So by taking common prime factors GCF of 9594 and 9596 is 2

Greatest Common Factor of 9594 and 9596 by matching factors method

Factors of 9594

List of positive integer factors of 9594 that divides 9594 without a remainder.

1,2,3,6,9,13,18,26,39,41,78,82,117,123,234,246,369,533,738,1066,1599,3198,4797,9594

Factors of 9596

List of positive integer factors of 9596 that divides 9596 without a remainder.

1,2,4,2399,4798,9596

Greatest Common Factor

We found the factors and prime factorization of 9594 and 9596. The biggest common factor number is the GCF number.
So the greatest common factor 9594 and 9596 is 2.

Also check out the Least Common Multiple of 9594 and 9596

Properties of GCF 9594 and 9596

(i) The GCF of 9594 and 9596 is associative

GCF of 9594 and 9596 = GCF of 9596 and 9594

Related Greatest Common Factor of 9594

Related Greatest Common Factor of 9596

Frequently Asked Questions on GCF of 9594 and 9596

1. What is the GCF of 9594 and 9596?

Answer: GCF of 9594 and 9596 is 2.

2. What are the Factors of 9594?

Answer: Factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594. There are 24 integers that are factors of 9594. The greatest factor of 9594 is 9594.

3. What are the Factors of 9596?

Answer: Factors of 9596 are 1, 2, 4, 2399, 4798, 9596. There are 6 integers that are factors of 9596. The greatest factor of 9596 is 9596.

4. How to Find the GCF of 9594 and 9596?

Answer:

Greatest Common Factor of 9594 and 9596 = 2

Step 1: Find the prime factorization of 9594

9594 = 2 x 3 x 3 x 13 x 41

Step 2: Find the prime factorization of 9596

9596 = 2 x 2 x 2399

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 9594 and 9596 is 2