Greatest Common Factor of 9582 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 9582, 9588 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9582 and 9588 is 6.

GCF(9582,9588) = 6

GCF of 9582 and 9588

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

GCF of:
and

Greatest Common Factor of 9582 and 9588

GCF of 9582 and 9588 is 6

Prime Factorization of 9582


2 9582
3 4791
1597 1597
1

Prime factors of 9582 are 2,3,1597. Prime factorization of 9582 in exponential form is:

9582 = 21×31×15971

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 9582 and 9588 is 6

Greatest Common Factor of 9582 and 9588 by matching factors method

Factors of 9582

List of positive integer factors of 9582 that divides 9582 without a remainder.

1,2,3,6,1597,3194,4791,9582

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 9582 and 9588. The biggest common factor number is the GCF number.
So the greatest common factor 9582 and 9588 is 6.

Also check out the Least Common Multiple of 9582 and 9588

Properties of GCF 9582 and 9588

(i) The GCF of 9582 and 9588 is associative

GCF of 9582 and 9588 = GCF of 9588 and 9582

Related Greatest Common Factor of 9582

Related Greatest Common Factor of 9588

Frequently Asked Questions on GCF of 9582 and 9588

1. What is the GCF of 9582 and 9588?

Answer: GCF of 9582 and 9588 is 6.

2. What are the Factors of 9582?

Answer: Factors of 9582 are 1, 2, 3, 6, 1597, 3194, 4791, 9582. There are 8 integers that are factors of 9582. The greatest factor of 9582 is 9582.

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 9582 and 9588?

Answer:

Greatest Common Factor of 9582 and 9588 = 6

Step 1: Find the prime factorization of 9582

9582 = 2 x 3 x 1597

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 3 = 6

Step 4: Therefore, the greatest common factor of 9582 and 9588 is 6