Greatest Common Factor of 3590 and 3595

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 3590, 3595 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3590 and 3595 is 5.

GCF(3590,3595) = 5

GCF of 3590 and 3595

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

GCF of:
and

Greatest Common Factor of 3590 and 3595

GCF of 3590 and 3595 is 5

Prime Factorization of 3590


2 3590
5 1795
359 359
1

Prime factors of 3590 are 2,5,359. Prime factorization of 3590 in exponential form is:

3590 = 21×51×3591

Prime Factorization of 3595


5 3595
719 719
1

Prime factors of 3595 are 5,719. Prime factorization of 3595 in exponential form is:

3595 = 51×7191

∴ So by taking common prime factors GCF of 3590 and 3595 is 5

Greatest Common Factor of 3590 and 3595 by matching factors method

Factors of 3590

List of positive integer factors of 3590 that divides 3590 without a remainder.

1,2,5,10,359,718,1795,3590

Factors of 3595

List of positive integer factors of 3595 that divides 3595 without a remainder.

1,5,719,3595

Greatest Common Factor

We found the factors and prime factorization of 3590 and 3595. The biggest common factor number is the GCF number.
So the greatest common factor 3590 and 3595 is 5.

Also check out the Least Common Multiple of 3590 and 3595

Properties of GCF 3590 and 3595

(i) The GCF of 3590 and 3595 is associative

GCF of 3590 and 3595 = GCF of 3595 and 3590

Related Greatest Common Factor of 3590

Related Greatest Common Factor of 3595

Frequently Asked Questions on GCF of 3590 and 3595

1. What is the GCF of 3590 and 3595?

Answer: GCF of 3590 and 3595 is 5.

2. What are the Factors of 3590?

Answer: Factors of 3590 are 1, 2, 5, 10, 359, 718, 1795, 3590. There are 8 integers that are factors of 3590. The greatest factor of 3590 is 3590.

3. What are the Factors of 3595?

Answer: Factors of 3595 are 1, 5, 719, 3595. There are 4 integers that are factors of 3595. The greatest factor of 3595 is 3595.

4. How to Find the GCF of 3590 and 3595?

Answer:

Greatest Common Factor of 3590 and 3595 = 5

Step 1: Find the prime factorization of 3590

3590 = 2 x 5 x 359

Step 2: Find the prime factorization of 3595

3595 = 5 x 719

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 3590 and 3595 is 5