Greatest Common Factor of 6750 and 6753

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 6750, 6753 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6750 and 6753 is 3.

GCF(6750,6753) = 3

GCF of 6750 and 6753

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

GCF of:
and

Greatest Common Factor of 6750 and 6753

GCF of 6750 and 6753 is 3

Prime Factorization of 6750


2 6750
3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 6750 are 2,3,5. Prime factorization of 6750 in exponential form is:

6750 = 21×33×53

Prime Factorization of 6753


3 6753
2251 2251
1

Prime factors of 6753 are 3,2251. Prime factorization of 6753 in exponential form is:

6753 = 31×22511

∴ So by taking common prime factors GCF of 6750 and 6753 is 3

Greatest Common Factor of 6750 and 6753 by matching factors method

Factors of 6750

List of positive integer factors of 6750 that divides 6750 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,125,135,150,225,250,270,375,450,675,750,1125,1350,2250,3375,6750

Factors of 6753

List of positive integer factors of 6753 that divides 6753 without a remainder.

1,3,2251,6753

Greatest Common Factor

We found the factors and prime factorization of 6750 and 6753. The biggest common factor number is the GCF number.
So the greatest common factor 6750 and 6753 is 3.

Also check out the Least Common Multiple of 6750 and 6753

Properties of GCF 6750 and 6753

(i) The GCF of 6750 and 6753 is associative

GCF of 6750 and 6753 = GCF of 6753 and 6750

Related Greatest Common Factor of 6750

Related Greatest Common Factor of 6753

Frequently Asked Questions on GCF of 6750 and 6753

1. What is the GCF of 6750 and 6753?

Answer: GCF of 6750 and 6753 is 3.

2. What are the Factors of 6750?

Answer: Factors of 6750 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750. There are 32 integers that are factors of 6750. The greatest factor of 6750 is 6750.

3. What are the Factors of 6753?

Answer: Factors of 6753 are 1, 3, 2251, 6753. There are 4 integers that are factors of 6753. The greatest factor of 6753 is 6753.

4. How to Find the GCF of 6750 and 6753?

Answer:

Greatest Common Factor of 6750 and 6753 = 3

Step 1: Find the prime factorization of 6750

6750 = 2 x 3 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 6753

6753 = 3 x 2251

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 6750 and 6753 is 3