Greatest Common Factor of 6742 and 6750

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 6742, 6750 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6742 and 6750 is 2.

GCF(6742,6750) = 2

GCF of 6742 and 6750

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

GCF of:
and

Greatest Common Factor of 6742 and 6750

GCF of 6742 and 6750 is 2

Prime Factorization of 6742


2 6742
3371 3371
1

Prime factors of 6742 are 2,3371. Prime factorization of 6742 in exponential form is:

6742 = 21×33711

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

∴ So by taking common prime factors GCF of 6742 and 6750 is 2

Greatest Common Factor of 6742 and 6750 by matching factors method

Factors of 6742

List of positive integer factors of 6742 that divides 6742 without a remainder.

1,2,3371,6742

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

Greatest Common Factor

We found the factors and prime factorization of 6742 and 6750. The biggest common factor number is the GCF number.
So the greatest common factor 6742 and 6750 is 2.

Also check out the Least Common Multiple of 6742 and 6750

Properties of GCF 6742 and 6750

(i) The GCF of 6742 and 6750 is associative

GCF of 6742 and 6750 = GCF of 6750 and 6742

Related Greatest Common Factor of 6742

Related Greatest Common Factor of 6750

Frequently Asked Questions on GCF of 6742 and 6750

1. What is the GCF of 6742 and 6750?

Answer: GCF of 6742 and 6750 is 2.

2. What are the Factors of 6742?

Answer: Factors of 6742 are 1, 2, 3371, 6742. There are 4 integers that are factors of 6742. The greatest factor of 6742 is 6742.

3. 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.

4. How to Find the GCF of 6742 and 6750?

Answer:

Greatest Common Factor of 6742 and 6750 = 2

Step 1: Find the prime factorization of 6742

6742 = 2 x 3371

Step 2: Find the prime factorization of 6750

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

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 6742 and 6750 is 2