Greatest Common Factor of 2600 and 2608

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, 2608 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2600 and 2608 is 8.

GCF(2600,2608) = 8

GCF of 2600 and 2608

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

GCF of:
and

Greatest Common Factor of 2600 and 2608

GCF of 2600 and 2608 is 8

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 2608


2 2608
2 1304
2 652
2 326
163 163
1

Prime factors of 2608 are 2,163. Prime factorization of 2608 in exponential form is:

2608 = 24×1631

∴ So by taking common prime factors GCF of 2600 and 2608 is 8

Greatest Common Factor of 2600 and 2608 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 2608

List of positive integer factors of 2608 that divides 2608 without a remainder.

1,2,4,8,16,163,326,652,1304,2608

Greatest Common Factor

We found the factors and prime factorization of 2600 and 2608. The biggest common factor number is the GCF number.
So the greatest common factor 2600 and 2608 is 8.

Also check out the Least Common Multiple of 2600 and 2608

Properties of GCF 2600 and 2608

(i) The GCF of 2600 and 2608 is associative

GCF of 2600 and 2608 = GCF of 2608 and 2600

Related Greatest Common Factor of 2600

Related Greatest Common Factor of 2608

Frequently Asked Questions on GCF of 2600 and 2608

1. What is the GCF of 2600 and 2608?

Answer: GCF of 2600 and 2608 is 8.

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 2608?

Answer: Factors of 2608 are 1, 2, 4, 8, 16, 163, 326, 652, 1304, 2608. There are 10 integers that are factors of 2608. The greatest factor of 2608 is 2608.

4. How to Find the GCF of 2600 and 2608?

Answer:

Greatest Common Factor of 2600 and 2608 = 8

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 2608

2608 = 2 x 2 x 2 x 2 x 163

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 2600 and 2608 is 8