Greatest Common Factor of 3588 and 3590

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 3588, 3590 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3588 and 3590 is 2.

GCF(3588,3590) = 2

GCF of 3588 and 3590

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

GCF of:
and

Greatest Common Factor of 3588 and 3590

GCF of 3588 and 3590 is 2

Prime Factorization of 3588


2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 3588 are 2,3,13,23. Prime factorization of 3588 in exponential form is:

3588 = 22×31×131×231

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

∴ So by taking common prime factors GCF of 3588 and 3590 is 2

Greatest Common Factor of 3588 and 3590 by matching factors method

Factors of 3588

List of positive integer factors of 3588 that divides 3588 without a remainder.

1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588

Factors of 3590

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

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

Greatest Common Factor

We found the factors and prime factorization of 3588 and 3590. The biggest common factor number is the GCF number.
So the greatest common factor 3588 and 3590 is 2.

Also check out the Least Common Multiple of 3588 and 3590

Properties of GCF 3588 and 3590

(i) The GCF of 3588 and 3590 is associative

GCF of 3588 and 3590 = GCF of 3590 and 3588

Related Greatest Common Factor of 3588

Related Greatest Common Factor of 3590

Frequently Asked Questions on GCF of 3588 and 3590

1. What is the GCF of 3588 and 3590?

Answer: GCF of 3588 and 3590 is 2.

2. What are the Factors of 3588?

Answer: Factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588. There are 24 integers that are factors of 3588. The greatest factor of 3588 is 3588.

3. 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.

4. How to Find the GCF of 3588 and 3590?

Answer:

Greatest Common Factor of 3588 and 3590 = 2

Step 1: Find the prime factorization of 3588

3588 = 2 x 2 x 3 x 13 x 23

Step 2: Find the prime factorization of 3590

3590 = 2 x 5 x 359

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 3588 and 3590 is 2