Greatest Common Factor of 6944 and 6952

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, 6952 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6944 and 6952 is 8.

GCF(6944,6952) = 8

GCF of 6944 and 6952

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

GCF of:
and

Greatest Common Factor of 6944 and 6952

GCF of 6944 and 6952 is 8

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 6952


2 6952
2 3476
2 1738
11 869
79 79
1

Prime factors of 6952 are 2,11,79. Prime factorization of 6952 in exponential form is:

6952 = 23×111×791

∴ So by taking common prime factors GCF of 6944 and 6952 is 8

Greatest Common Factor of 6944 and 6952 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 6952

List of positive integer factors of 6952 that divides 6952 without a remainder.

1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952

Greatest Common Factor

We found the factors and prime factorization of 6944 and 6952. The biggest common factor number is the GCF number.
So the greatest common factor 6944 and 6952 is 8.

Also check out the Least Common Multiple of 6944 and 6952

Properties of GCF 6944 and 6952

(i) The GCF of 6944 and 6952 is associative

GCF of 6944 and 6952 = GCF of 6952 and 6944

Related Greatest Common Factor of 6944

Related Greatest Common Factor of 6952

Frequently Asked Questions on GCF of 6944 and 6952

1. What is the GCF of 6944 and 6952?

Answer: GCF of 6944 and 6952 is 8.

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 6952?

Answer: Factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952. There are 16 integers that are factors of 6952. The greatest factor of 6952 is 6952.

4. How to Find the GCF of 6944 and 6952?

Answer:

Greatest Common Factor of 6944 and 6952 = 8

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 6952

6952 = 2 x 2 x 2 x 11 x 79

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 6944 and 6952 is 8