Greatest Common Factor of 4584 and 4590

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 4584, 4590 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4584 and 4590 is 6.

GCF(4584,4590) = 6

GCF of 4584 and 4590

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

GCF of:
and

Greatest Common Factor of 4584 and 4590

GCF of 4584 and 4590 is 6

Prime Factorization of 4584


2 4584
2 2292
2 1146
3 573
191 191
1

Prime factors of 4584 are 2,3,191. Prime factorization of 4584 in exponential form is:

4584 = 23×31×1911

Prime Factorization of 4590


2 4590
3 2295
3 765
3 255
5 85
17 17
1

Prime factors of 4590 are 2,3,5,17. Prime factorization of 4590 in exponential form is:

4590 = 21×33×51×171

∴ So by taking common prime factors GCF of 4584 and 4590 is 6

Greatest Common Factor of 4584 and 4590 by matching factors method

Factors of 4584

List of positive integer factors of 4584 that divides 4584 without a remainder.

1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584

Factors of 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590

Greatest Common Factor

We found the factors and prime factorization of 4584 and 4590. The biggest common factor number is the GCF number.
So the greatest common factor 4584 and 4590 is 6.

Also check out the Least Common Multiple of 4584 and 4590

Properties of GCF 4584 and 4590

(i) The GCF of 4584 and 4590 is associative

GCF of 4584 and 4590 = GCF of 4590 and 4584

Related Greatest Common Factor of 4584

Related Greatest Common Factor of 4590

Frequently Asked Questions on GCF of 4584 and 4590

1. What is the GCF of 4584 and 4590?

Answer: GCF of 4584 and 4590 is 6.

2. What are the Factors of 4584?

Answer: Factors of 4584 are 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584. There are 16 integers that are factors of 4584. The greatest factor of 4584 is 4584.

3. What are the Factors of 4590?

Answer: Factors of 4590 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590. There are 32 integers that are factors of 4590. The greatest factor of 4590 is 4590.

4. How to Find the GCF of 4584 and 4590?

Answer:

Greatest Common Factor of 4584 and 4590 = 6

Step 1: Find the prime factorization of 4584

4584 = 2 x 2 x 2 x 3 x 191

Step 2: Find the prime factorization of 4590

4590 = 2 x 3 x 3 x 3 x 5 x 17

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4584 and 4590 is 6