Greatest Common Factor of 2600 and 2602

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, 2602 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2600 and 2602 is 2.

GCF(2600,2602) = 2

GCF of 2600 and 2602

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

GCF of:
and

Greatest Common Factor of 2600 and 2602

GCF of 2600 and 2602 is 2

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 2602


2 2602
1301 1301
1

Prime factors of 2602 are 2,1301. Prime factorization of 2602 in exponential form is:

2602 = 21×13011

∴ So by taking common prime factors GCF of 2600 and 2602 is 2

Greatest Common Factor of 2600 and 2602 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 2602

List of positive integer factors of 2602 that divides 2602 without a remainder.

1,2,1301,2602

Greatest Common Factor

We found the factors and prime factorization of 2600 and 2602. The biggest common factor number is the GCF number.
So the greatest common factor 2600 and 2602 is 2.

Also check out the Least Common Multiple of 2600 and 2602

Properties of GCF 2600 and 2602

(i) The GCF of 2600 and 2602 is associative

GCF of 2600 and 2602 = GCF of 2602 and 2600

Related Greatest Common Factor of 2600

Related Greatest Common Factor of 2602

Frequently Asked Questions on GCF of 2600 and 2602

1. What is the GCF of 2600 and 2602?

Answer: GCF of 2600 and 2602 is 2.

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 2602?

Answer: Factors of 2602 are 1, 2, 1301, 2602. There are 4 integers that are factors of 2602. The greatest factor of 2602 is 2602.

4. How to Find the GCF of 2600 and 2602?

Answer:

Greatest Common Factor of 2600 and 2602 = 2

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 2602

2602 = 2 x 1301

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2600 and 2602 is 2