Greatest Common Factor of 1584 and 1587

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 1584, 1587 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1584 and 1587 is 3.

GCF(1584,1587) = 3

GCF of 1584 and 1587

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

GCF of:
and

Greatest Common Factor of 1584 and 1587

GCF of 1584 and 1587 is 3

Prime Factorization of 1584


2 1584
2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 1584 are 2,3,11. Prime factorization of 1584 in exponential form is:

1584 = 24×32×111

Prime Factorization of 1587


3 1587
23 529
23 23
1

Prime factors of 1587 are 3,23. Prime factorization of 1587 in exponential form is:

1587 = 31×232

∴ So by taking common prime factors GCF of 1584 and 1587 is 3

Greatest Common Factor of 1584 and 1587 by matching factors method

Factors of 1584

List of positive integer factors of 1584 that divides 1584 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584

Factors of 1587

List of positive integer factors of 1587 that divides 1587 without a remainder.

1,3,23,69,529,1587

Greatest Common Factor

We found the factors and prime factorization of 1584 and 1587. The biggest common factor number is the GCF number.
So the greatest common factor 1584 and 1587 is 3.

Also check out the Least Common Multiple of 1584 and 1587

Properties of GCF 1584 and 1587

(i) The GCF of 1584 and 1587 is associative

GCF of 1584 and 1587 = GCF of 1587 and 1584

Related Greatest Common Factor of 1584

Related Greatest Common Factor of 1587

Frequently Asked Questions on GCF of 1584 and 1587

1. What is the GCF of 1584 and 1587?

Answer: GCF of 1584 and 1587 is 3.

2. What are the Factors of 1584?

Answer: Factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584. There are 30 integers that are factors of 1584. The greatest factor of 1584 is 1584.

3. What are the Factors of 1587?

Answer: Factors of 1587 are 1, 3, 23, 69, 529, 1587. There are 6 integers that are factors of 1587. The greatest factor of 1587 is 1587.

4. How to Find the GCF of 1584 and 1587?

Answer:

Greatest Common Factor of 1584 and 1587 = 3

Step 1: Find the prime factorization of 1584

1584 = 2 x 2 x 2 x 2 x 3 x 3 x 11

Step 2: Find the prime factorization of 1587

1587 = 3 x 23 x 23

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1584 and 1587 is 3