Greatest Common Factor of 8578 and 8584

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 8578, 8584 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8578 and 8584 is 2.

GCF(8578,8584) = 2

GCF of 8578 and 8584

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

GCF of:
and

Greatest Common Factor of 8578 and 8584

GCF of 8578 and 8584 is 2

Prime Factorization of 8578


2 8578
4289 4289
1

Prime factors of 8578 are 2,4289. Prime factorization of 8578 in exponential form is:

8578 = 21×42891

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

∴ So by taking common prime factors GCF of 8578 and 8584 is 2

Greatest Common Factor of 8578 and 8584 by matching factors method

Factors of 8578

List of positive integer factors of 8578 that divides 8578 without a remainder.

1,2,4289,8578

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

Greatest Common Factor

We found the factors and prime factorization of 8578 and 8584. The biggest common factor number is the GCF number.
So the greatest common factor 8578 and 8584 is 2.

Also check out the Least Common Multiple of 8578 and 8584

Properties of GCF 8578 and 8584

(i) The GCF of 8578 and 8584 is associative

GCF of 8578 and 8584 = GCF of 8584 and 8578

Related Greatest Common Factor of 8578

Related Greatest Common Factor of 8584

Frequently Asked Questions on GCF of 8578 and 8584

1. What is the GCF of 8578 and 8584?

Answer: GCF of 8578 and 8584 is 2.

2. What are the Factors of 8578?

Answer: Factors of 8578 are 1, 2, 4289, 8578. There are 4 integers that are factors of 8578. The greatest factor of 8578 is 8578.

3. 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.

4. How to Find the GCF of 8578 and 8584?

Answer:

Greatest Common Factor of 8578 and 8584 = 2

Step 1: Find the prime factorization of 8578

8578 = 2 x 4289

Step 2: Find the prime factorization of 8584

8584 = 2 x 2 x 2 x 29 x 37

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 8578 and 8584 is 2