Greatest Common Factor of 2600 and 2604

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 2600, 2604 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2600 and 2604 is 4.

GCF(2600,2604) = 4

GCF of 2600 and 2604

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

GCF of:
and

Greatest Common Factor of 2600 and 2604

GCF of 2600 and 2604 is 4

Prime Factorization of 2600


2 2600
2 1300
2 650
5 325
5 65
13 13
1

Prime factors of 2600 are 2,5,13. Prime factorization of 2600 in exponential form is:

2600 = 23×52×131

Prime Factorization of 2604


2 2604
2 1302
3 651
7 217
31 31
1

Prime factors of 2604 are 2,3,7,31. Prime factorization of 2604 in exponential form is:

2604 = 22×31×71×311

∴ So by taking common prime factors GCF of 2600 and 2604 is 4

Greatest Common Factor of 2600 and 2604 by matching factors method

Factors of 2600

List of positive integer factors of 2600 that divides 2600 without a remainder.

1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600

Factors of 2604

List of positive integer factors of 2604 that divides 2604 without a remainder.

1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604

Greatest Common Factor

We found the factors and prime factorization of 2600 and 2604. The biggest common factor number is the GCF number.
So the greatest common factor 2600 and 2604 is 4.

Also check out the Least Common Multiple of 2600 and 2604

Properties of GCF 2600 and 2604

(i) The GCF of 2600 and 2604 is associative

GCF of 2600 and 2604 = GCF of 2604 and 2600

Related Greatest Common Factor of 2600

Related Greatest Common Factor of 2604

Frequently Asked Questions on GCF of 2600 and 2604

1. What is the GCF of 2600 and 2604?

Answer: GCF of 2600 and 2604 is 4.

2. What are the Factors of 2600?

Answer: Factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600. There are 24 integers that are factors of 2600. The greatest factor of 2600 is 2600.

3. What are the Factors of 2604?

Answer: Factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604. There are 24 integers that are factors of 2604. The greatest factor of 2604 is 2604.

4. How to Find the GCF of 2600 and 2604?

Answer:

Greatest Common Factor of 2600 and 2604 = 4

Step 1: Find the prime factorization of 2600

2600 = 2 x 2 x 2 x 5 x 5 x 13

Step 2: Find the prime factorization of 2604

2604 = 2 x 2 x 3 x 7 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2600 and 2604 is 4