Greatest Common Factor of 8584 and 8585

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, 8585 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8584 and 8585 is 1.

GCF(8584,8585) = 1

GCF of 8584 and 8585

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

GCF of:
and

Greatest Common Factor of 8584 and 8585

GCF of 8584 and 8585 is 1

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 8585


5 8585
17 1717
101 101
1

Prime factors of 8585 are 5,17,101. Prime factorization of 8585 in exponential form is:

8585 = 51×171×1011

∴ So by taking common prime factors GCF of 8584 and 8585 is 1

Greatest Common Factor of 8584 and 8585 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 8585

List of positive integer factors of 8585 that divides 8585 without a remainder.

1,5,17,85,101,505,1717,8585

Greatest Common Factor

We found the factors and prime factorization of 8584 and 8585. The biggest common factor number is the GCF number.
So the greatest common factor 8584 and 8585 is 1.

Also check out the Least Common Multiple of 8584 and 8585

Properties of GCF 8584 and 8585

(i) The GCF of 8584 and 8585 is associative

GCF of 8584 and 8585 = GCF of 8585 and 8584

Related Greatest Common Factor of 8584

Related Greatest Common Factor of 8585

Frequently Asked Questions on GCF of 8584 and 8585

1. What is the GCF of 8584 and 8585?

Answer: GCF of 8584 and 8585 is 1.

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 8585?

Answer: Factors of 8585 are 1, 5, 17, 85, 101, 505, 1717, 8585. There are 8 integers that are factors of 8585. The greatest factor of 8585 is 8585.

4. How to Find the GCF of 8584 and 8585?

Answer:

Greatest Common Factor of 8584 and 8585 = 1

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 8585

8585 = 5 x 17 x 101

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 8584 and 8585 is 1