Greatest Common Factor of 6930 and 6935

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 6930, 6935 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6930 and 6935 is 5.

GCF(6930,6935) = 5

GCF of 6930 and 6935

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

GCF of:
and

Greatest Common Factor of 6930 and 6935

GCF of 6930 and 6935 is 5

Prime Factorization of 6930


2 6930
3 3465
3 1155
5 385
7 77
11 11
1

Prime factors of 6930 are 2,3,5,7,11. Prime factorization of 6930 in exponential form is:

6930 = 21×32×51×71×111

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

∴ So by taking common prime factors GCF of 6930 and 6935 is 5

Greatest Common Factor of 6930 and 6935 by matching factors method

Factors of 6930

List of positive integer factors of 6930 that divides 6930 without a remainder.

1,2,3,5,6,7,9,10,11,14,15,18,21,22,30,33,35,42,45,55,63,66,70,77,90,99,105,110,126,154,165,198,210,231,315,330,385,462,495,630,693,770,990,1155,1386,2310,3465,6930

Factors of 6935

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

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

Greatest Common Factor

We found the factors and prime factorization of 6930 and 6935. The biggest common factor number is the GCF number.
So the greatest common factor 6930 and 6935 is 5.

Also check out the Least Common Multiple of 6930 and 6935

Properties of GCF 6930 and 6935

(i) The GCF of 6930 and 6935 is associative

GCF of 6930 and 6935 = GCF of 6935 and 6930

Related Greatest Common Factor of 6930

Related Greatest Common Factor of 6935

Frequently Asked Questions on GCF of 6930 and 6935

1. What is the GCF of 6930 and 6935?

Answer: GCF of 6930 and 6935 is 5.

2. What are the Factors of 6930?

Answer: Factors of 6930 are 1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 55, 63, 66, 70, 77, 90, 99, 105, 110, 126, 154, 165, 198, 210, 231, 315, 330, 385, 462, 495, 630, 693, 770, 990, 1155, 1386, 2310, 3465, 6930. There are 48 integers that are factors of 6930. The greatest factor of 6930 is 6930.

3. 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.

4. How to Find the GCF of 6930 and 6935?

Answer:

Greatest Common Factor of 6930 and 6935 = 5

Step 1: Find the prime factorization of 6930

6930 = 2 x 3 x 3 x 5 x 7 x 11

Step 2: Find the prime factorization of 6935

6935 = 5 x 19 x 73

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 6930 and 6935 is 5