Greatest Common Factor of 3585 and 3587

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 3585, 3587 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3585 and 3587 is 1.

GCF(3585,3587) = 1

GCF of 3585 and 3587

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

GCF of:
and

Greatest Common Factor of 3585 and 3587

GCF of 3585 and 3587 is 1

Prime Factorization of 3585


3 3585
5 1195
239 239
1

Prime factors of 3585 are 3,5,239. Prime factorization of 3585 in exponential form is:

3585 = 31×51×2391

Prime Factorization of 3587


17 3587
211 211
1

Prime factors of 3587 are 17,211. Prime factorization of 3587 in exponential form is:

3587 = 171×2111

∴ So by taking common prime factors GCF of 3585 and 3587 is 1

Greatest Common Factor of 3585 and 3587 by matching factors method

Factors of 3585

List of positive integer factors of 3585 that divides 3585 without a remainder.

1,3,5,15,239,717,1195,3585

Factors of 3587

List of positive integer factors of 3587 that divides 3587 without a remainder.

1,17,211,3587

Greatest Common Factor

We found the factors and prime factorization of 3585 and 3587. The biggest common factor number is the GCF number.
So the greatest common factor 3585 and 3587 is 1.

Also check out the Least Common Multiple of 3585 and 3587

Properties of GCF 3585 and 3587

(i) The GCF of 3585 and 3587 is associative

GCF of 3585 and 3587 = GCF of 3587 and 3585

Related Greatest Common Factor of 3585

Related Greatest Common Factor of 3587

Frequently Asked Questions on GCF of 3585 and 3587

1. What is the GCF of 3585 and 3587?

Answer: GCF of 3585 and 3587 is 1.

2. What are the Factors of 3585?

Answer: Factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585. There are 8 integers that are factors of 3585. The greatest factor of 3585 is 3585.

3. What are the Factors of 3587?

Answer: Factors of 3587 are 1, 17, 211, 3587. There are 4 integers that are factors of 3587. The greatest factor of 3587 is 3587.

4. How to Find the GCF of 3585 and 3587?

Answer:

Greatest Common Factor of 3585 and 3587 = 1

Step 1: Find the prime factorization of 3585

3585 = 3 x 5 x 239

Step 2: Find the prime factorization of 3587

3587 = 17 x 211

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 3585 and 3587 is 1