Greatest Common Factor of 6745 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 6745, 6750 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6745 and 6750 is 5.

GCF(6745,6750) = 5

GCF of 6745 and 6750

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

GCF of:
and

Greatest Common Factor of 6745 and 6750

GCF of 6745 and 6750 is 5

Prime Factorization of 6745


5 6745
19 1349
71 71
1

Prime factors of 6745 are 5,19,71. Prime factorization of 6745 in exponential form is:

6745 = 51×191×711

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 6745 and 6750 is 5

Greatest Common Factor of 6745 and 6750 by matching factors method

Factors of 6745

List of positive integer factors of 6745 that divides 6745 without a remainder.

1,5,19,71,95,355,1349,6745

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 6745 and 6750. The biggest common factor number is the GCF number.
So the greatest common factor 6745 and 6750 is 5.

Also check out the Least Common Multiple of 6745 and 6750

Properties of GCF 6745 and 6750

(i) The GCF of 6745 and 6750 is associative

GCF of 6745 and 6750 = GCF of 6750 and 6745

Related Greatest Common Factor of 6745

Related Greatest Common Factor of 6750

Frequently Asked Questions on GCF of 6745 and 6750

1. What is the GCF of 6745 and 6750?

Answer: GCF of 6745 and 6750 is 5.

2. What are the Factors of 6745?

Answer: Factors of 6745 are 1, 5, 19, 71, 95, 355, 1349, 6745. There are 8 integers that are factors of 6745. The greatest factor of 6745 is 6745.

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 6745 and 6750?

Answer:

Greatest Common Factor of 6745 and 6750 = 5

Step 1: Find the prime factorization of 6745

6745 = 5 x 19 x 71

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 = 5

Step 4: Therefore, the greatest common factor of 6745 and 6750 is 5