Greatest Common Factor of 9590 and 9594

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 9590, 9594 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9590 and 9594 is 2.

GCF(9590,9594) = 2

GCF of 9590 and 9594

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

GCF of:
and

Greatest Common Factor of 9590 and 9594

GCF of 9590 and 9594 is 2

Prime Factorization of 9590


2 9590
5 4795
7 959
137 137
1

Prime factors of 9590 are 2,5,7,137. Prime factorization of 9590 in exponential form is:

9590 = 21×51×71×1371

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

∴ So by taking common prime factors GCF of 9590 and 9594 is 2

Greatest Common Factor of 9590 and 9594 by matching factors method

Factors of 9590

List of positive integer factors of 9590 that divides 9590 without a remainder.

1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590

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

Greatest Common Factor

We found the factors and prime factorization of 9590 and 9594. The biggest common factor number is the GCF number.
So the greatest common factor 9590 and 9594 is 2.

Also check out the Least Common Multiple of 9590 and 9594

Properties of GCF 9590 and 9594

(i) The GCF of 9590 and 9594 is associative

GCF of 9590 and 9594 = GCF of 9594 and 9590

Related Greatest Common Factor of 9590

Related Greatest Common Factor of 9594

Frequently Asked Questions on GCF of 9590 and 9594

1. What is the GCF of 9590 and 9594?

Answer: GCF of 9590 and 9594 is 2.

2. What are the Factors of 9590?

Answer: Factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590. There are 16 integers that are factors of 9590. The greatest factor of 9590 is 9590.

3. 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.

4. How to Find the GCF of 9590 and 9594?

Answer:

Greatest Common Factor of 9590 and 9594 = 2

Step 1: Find the prime factorization of 9590

9590 = 2 x 5 x 7 x 137

Step 2: Find the prime factorization of 9594

9594 = 2 x 3 x 3 x 13 x 41

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 9590 and 9594 is 2