Greatest Common Factor of 6944 and 6946

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 6944, 6946 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6944 and 6946 is 2.

GCF(6944,6946) = 2

GCF of 6944 and 6946

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

GCF of:
and

Greatest Common Factor of 6944 and 6946

GCF of 6944 and 6946 is 2

Prime Factorization of 6944


2 6944
2 3472
2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 6944 are 2,7,31. Prime factorization of 6944 in exponential form is:

6944 = 25×71×311

Prime Factorization of 6946


2 6946
23 3473
151 151
1

Prime factors of 6946 are 2,23,151. Prime factorization of 6946 in exponential form is:

6946 = 21×231×1511

∴ So by taking common prime factors GCF of 6944 and 6946 is 2

Greatest Common Factor of 6944 and 6946 by matching factors method

Factors of 6944

List of positive integer factors of 6944 that divides 6944 without a remainder.

1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944

Factors of 6946

List of positive integer factors of 6946 that divides 6946 without a remainder.

1,2,23,46,151,302,3473,6946

Greatest Common Factor

We found the factors and prime factorization of 6944 and 6946. The biggest common factor number is the GCF number.
So the greatest common factor 6944 and 6946 is 2.

Also check out the Least Common Multiple of 6944 and 6946

Properties of GCF 6944 and 6946

(i) The GCF of 6944 and 6946 is associative

GCF of 6944 and 6946 = GCF of 6946 and 6944

Related Greatest Common Factor of 6944

Related Greatest Common Factor of 6946

Frequently Asked Questions on GCF of 6944 and 6946

1. What is the GCF of 6944 and 6946?

Answer: GCF of 6944 and 6946 is 2.

2. What are the Factors of 6944?

Answer: Factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944. There are 24 integers that are factors of 6944. The greatest factor of 6944 is 6944.

3. What are the Factors of 6946?

Answer: Factors of 6946 are 1, 2, 23, 46, 151, 302, 3473, 6946. There are 8 integers that are factors of 6946. The greatest factor of 6946 is 6946.

4. How to Find the GCF of 6944 and 6946?

Answer:

Greatest Common Factor of 6944 and 6946 = 2

Step 1: Find the prime factorization of 6944

6944 = 2 x 2 x 2 x 2 x 2 x 7 x 31

Step 2: Find the prime factorization of 6946

6946 = 2 x 23 x 151

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6944 and 6946 is 2