Greatest Common Factor of 2584 and 2592

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 2584, 2592 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2584 and 2592 is 8.

GCF(2584,2592) = 8

GCF of 2584 and 2592

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

GCF of:
and

Greatest Common Factor of 2584 and 2592

GCF of 2584 and 2592 is 8

Prime Factorization of 2584


2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 2584 are 2,17,19. Prime factorization of 2584 in exponential form is:

2584 = 23×171×191

Prime Factorization of 2592


2 2592
2 1296
2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 2592 are 2,3. Prime factorization of 2592 in exponential form is:

2592 = 25×34

∴ So by taking common prime factors GCF of 2584 and 2592 is 8

Greatest Common Factor of 2584 and 2592 by matching factors method

Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584

Factors of 2592

List of positive integer factors of 2592 that divides 2592 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,288,324,432,648,864,1296,2592

Greatest Common Factor

We found the factors and prime factorization of 2584 and 2592. The biggest common factor number is the GCF number.
So the greatest common factor 2584 and 2592 is 8.

Also check out the Least Common Multiple of 2584 and 2592

Properties of GCF 2584 and 2592

(i) The GCF of 2584 and 2592 is associative

GCF of 2584 and 2592 = GCF of 2592 and 2584

Related Greatest Common Factor of 2584

Related Greatest Common Factor of 2592

Frequently Asked Questions on GCF of 2584 and 2592

1. What is the GCF of 2584 and 2592?

Answer: GCF of 2584 and 2592 is 8.

2. What are the Factors of 2584?

Answer: Factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584. There are 16 integers that are factors of 2584. The greatest factor of 2584 is 2584.

3. What are the Factors of 2592?

Answer: Factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592. There are 30 integers that are factors of 2592. The greatest factor of 2592 is 2592.

4. How to Find the GCF of 2584 and 2592?

Answer:

Greatest Common Factor of 2584 and 2592 = 8

Step 1: Find the prime factorization of 2584

2584 = 2 x 2 x 2 x 17 x 19

Step 2: Find the prime factorization of 2592

2592 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2584 and 2592 is 8