Greatest Common Factor of 6912 and 6920

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, 6920 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6912 and 6920 is 8.

GCF(6912,6920) = 8

GCF of 6912 and 6920

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

GCF of:
and

Greatest Common Factor of 6912 and 6920

GCF of 6912 and 6920 is 8

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 6920


2 6920
2 3460
2 1730
5 865
173 173
1

Prime factors of 6920 are 2,5,173. Prime factorization of 6920 in exponential form is:

6920 = 23×51×1731

∴ So by taking common prime factors GCF of 6912 and 6920 is 8

Greatest Common Factor of 6912 and 6920 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 6920

List of positive integer factors of 6920 that divides 6920 without a remainder.

1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920

Greatest Common Factor

We found the factors and prime factorization of 6912 and 6920. The biggest common factor number is the GCF number.
So the greatest common factor 6912 and 6920 is 8.

Also check out the Least Common Multiple of 6912 and 6920

Properties of GCF 6912 and 6920

(i) The GCF of 6912 and 6920 is associative

GCF of 6912 and 6920 = GCF of 6920 and 6912

Related Greatest Common Factor of 6912

Related Greatest Common Factor of 6920

Frequently Asked Questions on GCF of 6912 and 6920

1. What is the GCF of 6912 and 6920?

Answer: GCF of 6912 and 6920 is 8.

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 6920?

Answer: Factors of 6920 are 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920. There are 16 integers that are factors of 6920. The greatest factor of 6920 is 6920.

4. How to Find the GCF of 6912 and 6920?

Answer:

Greatest Common Factor of 6912 and 6920 = 8

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 6920

6920 = 2 x 2 x 2 x 5 x 173

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6912 and 6920 is 8