Greatest Common Factor of 9580 and 9588

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 9580, 9588 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9580 and 9588 is 4.

GCF(9580,9588) = 4

GCF of 9580 and 9588

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

GCF of:
and

Greatest Common Factor of 9580 and 9588

GCF of 9580 and 9588 is 4

Prime Factorization of 9580


2 9580
2 4790
5 2395
479 479
1

Prime factors of 9580 are 2,5,479. Prime factorization of 9580 in exponential form is:

9580 = 22×51×4791

Prime Factorization of 9588


2 9588
2 4794
3 2397
17 799
47 47
1

Prime factors of 9588 are 2,3,17,47. Prime factorization of 9588 in exponential form is:

9588 = 22×31×171×471

∴ So by taking common prime factors GCF of 9580 and 9588 is 4

Greatest Common Factor of 9580 and 9588 by matching factors method

Factors of 9580

List of positive integer factors of 9580 that divides 9580 without a remainder.

1,2,4,5,10,20,479,958,1916,2395,4790,9580

Factors of 9588

List of positive integer factors of 9588 that divides 9588 without a remainder.

1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588

Greatest Common Factor

We found the factors and prime factorization of 9580 and 9588. The biggest common factor number is the GCF number.
So the greatest common factor 9580 and 9588 is 4.

Also check out the Least Common Multiple of 9580 and 9588

Properties of GCF 9580 and 9588

(i) The GCF of 9580 and 9588 is associative

GCF of 9580 and 9588 = GCF of 9588 and 9580

Related Greatest Common Factor of 9580

Related Greatest Common Factor of 9588

Frequently Asked Questions on GCF of 9580 and 9588

1. What is the GCF of 9580 and 9588?

Answer: GCF of 9580 and 9588 is 4.

2. What are the Factors of 9580?

Answer: Factors of 9580 are 1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580. There are 12 integers that are factors of 9580. The greatest factor of 9580 is 9580.

3. What are the Factors of 9588?

Answer: Factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588. There are 24 integers that are factors of 9588. The greatest factor of 9588 is 9588.

4. How to Find the GCF of 9580 and 9588?

Answer:

Greatest Common Factor of 9580 and 9588 = 4

Step 1: Find the prime factorization of 9580

9580 = 2 x 2 x 5 x 479

Step 2: Find the prime factorization of 9588

9588 = 2 x 2 x 3 x 17 x 47

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 9580 and 9588 is 4