Greatest Common Factor of 2700 and 2705

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, 2705 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2700 and 2705 is 5.

GCF(2700,2705) = 5

GCF of 2700 and 2705

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

GCF of:
and

Greatest Common Factor of 2700 and 2705

GCF of 2700 and 2705 is 5

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 2705


5 2705
541 541
1

Prime factors of 2705 are 5,541. Prime factorization of 2705 in exponential form is:

2705 = 51×5411

∴ So by taking common prime factors GCF of 2700 and 2705 is 5

Greatest Common Factor of 2700 and 2705 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 2705

List of positive integer factors of 2705 that divides 2705 without a remainder.

1,5,541,2705

Greatest Common Factor

We found the factors and prime factorization of 2700 and 2705. The biggest common factor number is the GCF number.
So the greatest common factor 2700 and 2705 is 5.

Also check out the Least Common Multiple of 2700 and 2705

Properties of GCF 2700 and 2705

(i) The GCF of 2700 and 2705 is associative

GCF of 2700 and 2705 = GCF of 2705 and 2700

Related Greatest Common Factor of 2700

Related Greatest Common Factor of 2705

Frequently Asked Questions on GCF of 2700 and 2705

1. What is the GCF of 2700 and 2705?

Answer: GCF of 2700 and 2705 is 5.

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 2705?

Answer: Factors of 2705 are 1, 5, 541, 2705. There are 4 integers that are factors of 2705. The greatest factor of 2705 is 2705.

4. How to Find the GCF of 2700 and 2705?

Answer:

Greatest Common Factor of 2700 and 2705 = 5

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 2705

2705 = 5 x 541

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2700 and 2705 is 5