Greatest Common Factor of 6740 and 6745

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 6740, 6745 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6740 and 6745 is 5.

GCF(6740,6745) = 5

GCF of 6740 and 6745

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

GCF of:
and

Greatest Common Factor of 6740 and 6745

GCF of 6740 and 6745 is 5

Prime Factorization of 6740


2 6740
2 3370
5 1685
337 337
1

Prime factors of 6740 are 2,5,337. Prime factorization of 6740 in exponential form is:

6740 = 22×51×3371

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

∴ So by taking common prime factors GCF of 6740 and 6745 is 5

Greatest Common Factor of 6740 and 6745 by matching factors method

Factors of 6740

List of positive integer factors of 6740 that divides 6740 without a remainder.

1,2,4,5,10,20,337,674,1348,1685,3370,6740

Factors of 6745

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

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

Greatest Common Factor

We found the factors and prime factorization of 6740 and 6745. The biggest common factor number is the GCF number.
So the greatest common factor 6740 and 6745 is 5.

Also check out the Least Common Multiple of 6740 and 6745

Properties of GCF 6740 and 6745

(i) The GCF of 6740 and 6745 is associative

GCF of 6740 and 6745 = GCF of 6745 and 6740

Related Greatest Common Factor of 6740

Related Greatest Common Factor of 6745

Frequently Asked Questions on GCF of 6740 and 6745

1. What is the GCF of 6740 and 6745?

Answer: GCF of 6740 and 6745 is 5.

2. What are the Factors of 6740?

Answer: Factors of 6740 are 1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740. There are 12 integers that are factors of 6740. The greatest factor of 6740 is 6740.

3. 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.

4. How to Find the GCF of 6740 and 6745?

Answer:

Greatest Common Factor of 6740 and 6745 = 5

Step 1: Find the prime factorization of 6740

6740 = 2 x 2 x 5 x 337

Step 2: Find the prime factorization of 6745

6745 = 5 x 19 x 71

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 6740 and 6745 is 5