Greatest Common Factor of 9584 and 9587

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 9584, 9587 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9584 and 9587 is 1.

GCF(9584,9587) = 1

GCF of 9584 and 9587

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

GCF of:
and

Greatest Common Factor of 9584 and 9587

GCF of 9584 and 9587 is 1

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

Prime Factorization of 9587


9587 9587
1

Prime factors of 9587 are 9587. Prime factorization of 9587 in exponential form is:

9587 = 95871

∴ So by taking common prime factors GCF of 9584 and 9587 is 1

Greatest Common Factor of 9584 and 9587 by matching factors method

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

Factors of 9587

List of positive integer factors of 9587 that divides 9587 without a remainder.

1,9587

Greatest Common Factor

We found the factors and prime factorization of 9584 and 9587. The biggest common factor number is the GCF number.
So the greatest common factor 9584 and 9587 is 1.

Also check out the Least Common Multiple of 9584 and 9587

Properties of GCF 9584 and 9587

(i) The GCF of 9584 and 9587 is associative

GCF of 9584 and 9587 = GCF of 9587 and 9584

Related Greatest Common Factor of 9584

Related Greatest Common Factor of 9587

Frequently Asked Questions on GCF of 9584 and 9587

1. What is the GCF of 9584 and 9587?

Answer: GCF of 9584 and 9587 is 1.

2. 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.

3. What are the Factors of 9587?

Answer: Factors of 9587 are 1, 9587. There are 2 integers that are factors of 9587. The greatest factor of 9587 is 9587.

4. How to Find the GCF of 9584 and 9587?

Answer:

Greatest Common Factor of 9584 and 9587 = 1

Step 1: Find the prime factorization of 9584

9584 = 2 x 2 x 2 x 2 x 599

Step 2: Find the prime factorization of 9587

9587 = 9587

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 9584 and 9587 is 1