Greatest Common Factor of 7584 and 7590

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 7584, 7590 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7584 and 7590 is 6.

GCF(7584,7590) = 6

GCF of 7584 and 7590

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

GCF of:
and

Greatest Common Factor of 7584 and 7590

GCF of 7584 and 7590 is 6

Prime Factorization of 7584


2 7584
2 3792
2 1896
2 948
2 474
3 237
79 79
1

Prime factors of 7584 are 2,3,79. Prime factorization of 7584 in exponential form is:

7584 = 25×31×791

Prime Factorization of 7590


2 7590
3 3795
5 1265
11 253
23 23
1

Prime factors of 7590 are 2,3,5,11,23. Prime factorization of 7590 in exponential form is:

7590 = 21×31×51×111×231

∴ So by taking common prime factors GCF of 7584 and 7590 is 6

Greatest Common Factor of 7584 and 7590 by matching factors method

Factors of 7584

List of positive integer factors of 7584 that divides 7584 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584

Factors of 7590

List of positive integer factors of 7590 that divides 7590 without a remainder.

1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590

Greatest Common Factor

We found the factors and prime factorization of 7584 and 7590. The biggest common factor number is the GCF number.
So the greatest common factor 7584 and 7590 is 6.

Also check out the Least Common Multiple of 7584 and 7590

Properties of GCF 7584 and 7590

(i) The GCF of 7584 and 7590 is associative

GCF of 7584 and 7590 = GCF of 7590 and 7584

Related Greatest Common Factor of 7584

Related Greatest Common Factor of 7590

Frequently Asked Questions on GCF of 7584 and 7590

1. What is the GCF of 7584 and 7590?

Answer: GCF of 7584 and 7590 is 6.

2. What are the Factors of 7584?

Answer: Factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584. There are 24 integers that are factors of 7584. The greatest factor of 7584 is 7584.

3. What are the Factors of 7590?

Answer: Factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590. There are 32 integers that are factors of 7590. The greatest factor of 7590 is 7590.

4. How to Find the GCF of 7584 and 7590?

Answer:

Greatest Common Factor of 7584 and 7590 = 6

Step 1: Find the prime factorization of 7584

7584 = 2 x 2 x 2 x 2 x 2 x 3 x 79

Step 2: Find the prime factorization of 7590

7590 = 2 x 3 x 5 x 11 x 23

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 7584 and 7590 is 6