Greatest Common Factor of 3584 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 3584, 3590 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3584 and 3590 is 2.

GCF(3584,3590) = 2

GCF of 3584 and 3590

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

GCF of:
and

Greatest Common Factor of 3584 and 3590

GCF of 3584 and 3590 is 2

Prime Factorization of 3584


2 3584
2 1792
2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 3584 are 2,7. Prime factorization of 3584 in exponential form is:

3584 = 29×71

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 3584 and 3590 is 2

Greatest Common Factor of 3584 and 3590 by matching factors method

Factors of 3584

List of positive integer factors of 3584 that divides 3584 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584

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 3584 and 3590. The biggest common factor number is the GCF number.
So the greatest common factor 3584 and 3590 is 2.

Also check out the Least Common Multiple of 3584 and 3590

Properties of GCF 3584 and 3590

(i) The GCF of 3584 and 3590 is associative

GCF of 3584 and 3590 = GCF of 3590 and 3584

Related Greatest Common Factor of 3584

Related Greatest Common Factor of 3590

Frequently Asked Questions on GCF of 3584 and 3590

1. What is the GCF of 3584 and 3590?

Answer: GCF of 3584 and 3590 is 2.

2. What are the Factors of 3584?

Answer: Factors of 3584 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584. There are 20 integers that are factors of 3584. The greatest factor of 3584 is 3584.

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 3584 and 3590?

Answer:

Greatest Common Factor of 3584 and 3590 = 2

Step 1: Find the prime factorization of 3584

3584 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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 3584 and 3590 is 2