Greatest Common Factor of 8584 and 8590

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 8584, 8590 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8584 and 8590 is 2.

GCF(8584,8590) = 2

GCF of 8584 and 8590

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

GCF of:
and

Greatest Common Factor of 8584 and 8590

GCF of 8584 and 8590 is 2

Prime Factorization of 8584


2 8584
2 4292
2 2146
29 1073
37 37
1

Prime factors of 8584 are 2,29,37. Prime factorization of 8584 in exponential form is:

8584 = 23×291×371

Prime Factorization of 8590


2 8590
5 4295
859 859
1

Prime factors of 8590 are 2,5,859. Prime factorization of 8590 in exponential form is:

8590 = 21×51×8591

∴ So by taking common prime factors GCF of 8584 and 8590 is 2

Greatest Common Factor of 8584 and 8590 by matching factors method

Factors of 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584

Factors of 8590

List of positive integer factors of 8590 that divides 8590 without a remainder.

1,2,5,10,859,1718,4295,8590

Greatest Common Factor

We found the factors and prime factorization of 8584 and 8590. The biggest common factor number is the GCF number.
So the greatest common factor 8584 and 8590 is 2.

Also check out the Least Common Multiple of 8584 and 8590

Properties of GCF 8584 and 8590

(i) The GCF of 8584 and 8590 is associative

GCF of 8584 and 8590 = GCF of 8590 and 8584

Related Greatest Common Factor of 8584

Related Greatest Common Factor of 8590

Frequently Asked Questions on GCF of 8584 and 8590

1. What is the GCF of 8584 and 8590?

Answer: GCF of 8584 and 8590 is 2.

2. What are the Factors of 8584?

Answer: Factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584. There are 16 integers that are factors of 8584. The greatest factor of 8584 is 8584.

3. What are the Factors of 8590?

Answer: Factors of 8590 are 1, 2, 5, 10, 859, 1718, 4295, 8590. There are 8 integers that are factors of 8590. The greatest factor of 8590 is 8590.

4. How to Find the GCF of 8584 and 8590?

Answer:

Greatest Common Factor of 8584 and 8590 = 2

Step 1: Find the prime factorization of 8584

8584 = 2 x 2 x 2 x 29 x 37

Step 2: Find the prime factorization of 8590

8590 = 2 x 5 x 859

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 8584 and 8590 is 2