Greatest Common Factor of 8585 and 8587

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 8585, 8587 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8585 and 8587 is 1.

GCF(8585,8587) = 1

GCF of 8585 and 8587

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

GCF of:
and

Greatest Common Factor of 8585 and 8587

GCF of 8585 and 8587 is 1

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

Prime Factorization of 8587


31 8587
277 277
1

Prime factors of 8587 are 31,277. Prime factorization of 8587 in exponential form is:

8587 = 311×2771

∴ So by taking common prime factors GCF of 8585 and 8587 is 1

Greatest Common Factor of 8585 and 8587 by matching factors method

Factors of 8585

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

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

Factors of 8587

List of positive integer factors of 8587 that divides 8587 without a remainder.

1,31,277,8587

Greatest Common Factor

We found the factors and prime factorization of 8585 and 8587. The biggest common factor number is the GCF number.
So the greatest common factor 8585 and 8587 is 1.

Also check out the Least Common Multiple of 8585 and 8587

Properties of GCF 8585 and 8587

(i) The GCF of 8585 and 8587 is associative

GCF of 8585 and 8587 = GCF of 8587 and 8585

Related Greatest Common Factor of 8585

Related Greatest Common Factor of 8587

Frequently Asked Questions on GCF of 8585 and 8587

1. What is the GCF of 8585 and 8587?

Answer: GCF of 8585 and 8587 is 1.

2. 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.

3. What are the Factors of 8587?

Answer: Factors of 8587 are 1, 31, 277, 8587. There are 4 integers that are factors of 8587. The greatest factor of 8587 is 8587.

4. How to Find the GCF of 8585 and 8587?

Answer:

Greatest Common Factor of 8585 and 8587 = 1

Step 1: Find the prime factorization of 8585

8585 = 5 x 17 x 101

Step 2: Find the prime factorization of 8587

8587 = 31 x 277

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 8585 and 8587 is 1