Greatest Common Factor of 9582 and 9584

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, 9584 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9582 and 9584 is 2.

GCF(9582,9584) = 2

GCF of 9582 and 9584

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

GCF of:
and

Greatest Common Factor of 9582 and 9584

GCF of 9582 and 9584 is 2

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 9584


2 9584
2 4792
2 2396
2 1198
599 599
1

Prime factors of 9584 are 2,599. Prime factorization of 9584 in exponential form is:

9584 = 24×5991

∴ So by taking common prime factors GCF of 9582 and 9584 is 2

Greatest Common Factor of 9582 and 9584 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 9584

List of positive integer factors of 9584 that divides 9584 without a remainder.

1,2,4,8,16,599,1198,2396,4792,9584

Greatest Common Factor

We found the factors and prime factorization of 9582 and 9584. The biggest common factor number is the GCF number.
So the greatest common factor 9582 and 9584 is 2.

Also check out the Least Common Multiple of 9582 and 9584

Properties of GCF 9582 and 9584

(i) The GCF of 9582 and 9584 is associative

GCF of 9582 and 9584 = GCF of 9584 and 9582

Related Greatest Common Factor of 9582

Related Greatest Common Factor of 9584

Frequently Asked Questions on GCF of 9582 and 9584

1. What is the GCF of 9582 and 9584?

Answer: GCF of 9582 and 9584 is 2.

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 9584?

Answer: Factors of 9584 are 1, 2, 4, 8, 16, 599, 1198, 2396, 4792, 9584. There are 10 integers that are factors of 9584. The greatest factor of 9584 is 9584.

4. How to Find the GCF of 9582 and 9584?

Answer:

Greatest Common Factor of 9582 and 9584 = 2

Step 1: Find the prime factorization of 9582

9582 = 2 x 3 x 1597

Step 2: Find the prime factorization of 9584

9584 = 2 x 2 x 2 x 2 x 599

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 9582 and 9584 is 2