Greatest Common Factor of 2700 and 2703

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 2700, 2703 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2700 and 2703 is 3.

GCF(2700,2703) = 3

GCF of 2700 and 2703

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

GCF of:
and

Greatest Common Factor of 2700 and 2703

GCF of 2700 and 2703 is 3

Prime Factorization of 2700


2 2700
2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 2700 are 2,3,5. Prime factorization of 2700 in exponential form is:

2700 = 22×33×52

Prime Factorization of 2703


3 2703
17 901
53 53
1

Prime factors of 2703 are 3,17,53. Prime factorization of 2703 in exponential form is:

2703 = 31×171×531

∴ So by taking common prime factors GCF of 2700 and 2703 is 3

Greatest Common Factor of 2700 and 2703 by matching factors method

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700

Factors of 2703

List of positive integer factors of 2703 that divides 2703 without a remainder.

1,3,17,51,53,159,901,2703

Greatest Common Factor

We found the factors and prime factorization of 2700 and 2703. The biggest common factor number is the GCF number.
So the greatest common factor 2700 and 2703 is 3.

Also check out the Least Common Multiple of 2700 and 2703

Properties of GCF 2700 and 2703

(i) The GCF of 2700 and 2703 is associative

GCF of 2700 and 2703 = GCF of 2703 and 2700

Related Greatest Common Factor of 2700

Related Greatest Common Factor of 2703

Frequently Asked Questions on GCF of 2700 and 2703

1. What is the GCF of 2700 and 2703?

Answer: GCF of 2700 and 2703 is 3.

2. What are the Factors of 2700?

Answer: Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700. There are 36 integers that are factors of 2700. The greatest factor of 2700 is 2700.

3. What are the Factors of 2703?

Answer: Factors of 2703 are 1, 3, 17, 51, 53, 159, 901, 2703. There are 8 integers that are factors of 2703. The greatest factor of 2703 is 2703.

4. How to Find the GCF of 2700 and 2703?

Answer:

Greatest Common Factor of 2700 and 2703 = 3

Step 1: Find the prime factorization of 2700

2700 = 2 x 2 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 2703

2703 = 3 x 17 x 53

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 2700 and 2703 is 3