Greatest Common Factor of 8582 and 8589

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 8582, 8589 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8582 and 8589 is 7.

GCF(8582,8589) = 7

GCF of 8582 and 8589

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

GCF of:
and

Greatest Common Factor of 8582 and 8589

GCF of 8582 and 8589 is 7

Prime Factorization of 8582


2 8582
7 4291
613 613
1

Prime factors of 8582 are 2,7,613. Prime factorization of 8582 in exponential form is:

8582 = 21×71×6131

Prime Factorization of 8589


3 8589
7 2863
409 409
1

Prime factors of 8589 are 3,7,409. Prime factorization of 8589 in exponential form is:

8589 = 31×71×4091

∴ So by taking common prime factors GCF of 8582 and 8589 is 7

Greatest Common Factor of 8582 and 8589 by matching factors method

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1,2,7,14,613,1226,4291,8582

Factors of 8589

List of positive integer factors of 8589 that divides 8589 without a remainder.

1,3,7,21,409,1227,2863,8589

Greatest Common Factor

We found the factors and prime factorization of 8582 and 8589. The biggest common factor number is the GCF number.
So the greatest common factor 8582 and 8589 is 7.

Also check out the Least Common Multiple of 8582 and 8589

Properties of GCF 8582 and 8589

(i) The GCF of 8582 and 8589 is associative

GCF of 8582 and 8589 = GCF of 8589 and 8582

Related Greatest Common Factor of 8582

Related Greatest Common Factor of 8589

Frequently Asked Questions on GCF of 8582 and 8589

1. What is the GCF of 8582 and 8589?

Answer: GCF of 8582 and 8589 is 7.

2. What are the Factors of 8582?

Answer: Factors of 8582 are 1, 2, 7, 14, 613, 1226, 4291, 8582. There are 8 integers that are factors of 8582. The greatest factor of 8582 is 8582.

3. What are the Factors of 8589?

Answer: Factors of 8589 are 1, 3, 7, 21, 409, 1227, 2863, 8589. There are 8 integers that are factors of 8589. The greatest factor of 8589 is 8589.

4. How to Find the GCF of 8582 and 8589?

Answer:

Greatest Common Factor of 8582 and 8589 = 7

Step 1: Find the prime factorization of 8582

8582 = 2 x 7 x 613

Step 2: Find the prime factorization of 8589

8589 = 3 x 7 x 409

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8582 and 8589 is 7