Greatest Common Factor of 6935 and 6940

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 6935, 6940 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6935 and 6940 is 5.

GCF(6935,6940) = 5

GCF of 6935 and 6940

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

GCF of:
and

Greatest Common Factor of 6935 and 6940

GCF of 6935 and 6940 is 5

Prime Factorization of 6935


5 6935
19 1387
73 73
1

Prime factors of 6935 are 5,19,73. Prime factorization of 6935 in exponential form is:

6935 = 51×191×731

Prime Factorization of 6940


2 6940
2 3470
5 1735
347 347
1

Prime factors of 6940 are 2,5,347. Prime factorization of 6940 in exponential form is:

6940 = 22×51×3471

∴ So by taking common prime factors GCF of 6935 and 6940 is 5

Greatest Common Factor of 6935 and 6940 by matching factors method

Factors of 6935

List of positive integer factors of 6935 that divides 6935 without a remainder.

1,5,19,73,95,365,1387,6935

Factors of 6940

List of positive integer factors of 6940 that divides 6940 without a remainder.

1,2,4,5,10,20,347,694,1388,1735,3470,6940

Greatest Common Factor

We found the factors and prime factorization of 6935 and 6940. The biggest common factor number is the GCF number.
So the greatest common factor 6935 and 6940 is 5.

Also check out the Least Common Multiple of 6935 and 6940

Properties of GCF 6935 and 6940

(i) The GCF of 6935 and 6940 is associative

GCF of 6935 and 6940 = GCF of 6940 and 6935

Related Greatest Common Factor of 6935

Related Greatest Common Factor of 6940

Frequently Asked Questions on GCF of 6935 and 6940

1. What is the GCF of 6935 and 6940?

Answer: GCF of 6935 and 6940 is 5.

2. What are the Factors of 6935?

Answer: Factors of 6935 are 1, 5, 19, 73, 95, 365, 1387, 6935. There are 8 integers that are factors of 6935. The greatest factor of 6935 is 6935.

3. What are the Factors of 6940?

Answer: Factors of 6940 are 1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940. There are 12 integers that are factors of 6940. The greatest factor of 6940 is 6940.

4. How to Find the GCF of 6935 and 6940?

Answer:

Greatest Common Factor of 6935 and 6940 = 5

Step 1: Find the prime factorization of 6935

6935 = 5 x 19 x 73

Step 2: Find the prime factorization of 6940

6940 = 2 x 2 x 5 x 347

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 6935 and 6940 is 5