Greatest Common Factor of 6912 and 6918

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 6912, 6918 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6912 and 6918 is 6.

GCF(6912,6918) = 6

GCF of 6912 and 6918

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

GCF of:
and

Greatest Common Factor of 6912 and 6918

GCF of 6912 and 6918 is 6

Prime Factorization of 6912


2 6912
2 3456
2 1728
2 864
2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 6912 are 2,3. Prime factorization of 6912 in exponential form is:

6912 = 28×33

Prime Factorization of 6918


2 6918
3 3459
1153 1153
1

Prime factors of 6918 are 2,3,1153. Prime factorization of 6918 in exponential form is:

6918 = 21×31×11531

∴ So by taking common prime factors GCF of 6912 and 6918 is 6

Greatest Common Factor of 6912 and 6918 by matching factors method

Factors of 6912

List of positive integer factors of 6912 that divides 6912 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912

Factors of 6918

List of positive integer factors of 6918 that divides 6918 without a remainder.

1,2,3,6,1153,2306,3459,6918

Greatest Common Factor

We found the factors and prime factorization of 6912 and 6918. The biggest common factor number is the GCF number.
So the greatest common factor 6912 and 6918 is 6.

Also check out the Least Common Multiple of 6912 and 6918

Properties of GCF 6912 and 6918

(i) The GCF of 6912 and 6918 is associative

GCF of 6912 and 6918 = GCF of 6918 and 6912

Related Greatest Common Factor of 6912

Related Greatest Common Factor of 6918

Frequently Asked Questions on GCF of 6912 and 6918

1. What is the GCF of 6912 and 6918?

Answer: GCF of 6912 and 6918 is 6.

2. What are the Factors of 6912?

Answer: Factors of 6912 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456, 6912. There are 36 integers that are factors of 6912. The greatest factor of 6912 is 6912.

3. What are the Factors of 6918?

Answer: Factors of 6918 are 1, 2, 3, 6, 1153, 2306, 3459, 6918. There are 8 integers that are factors of 6918. The greatest factor of 6918 is 6918.

4. How to Find the GCF of 6912 and 6918?

Answer:

Greatest Common Factor of 6912 and 6918 = 6

Step 1: Find the prime factorization of 6912

6912 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 6918

6918 = 2 x 3 x 1153

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6912 and 6918 is 6