Greatest Common Factor of 7944 and 7952

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 7944, 7952 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7944 and 7952 is 8.

GCF(7944,7952) = 8

GCF of 7944 and 7952

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

GCF of:
and

Greatest Common Factor of 7944 and 7952

GCF of 7944 and 7952 is 8

Prime Factorization of 7944


2 7944
2 3972
2 1986
3 993
331 331
1

Prime factors of 7944 are 2,3,331. Prime factorization of 7944 in exponential form is:

7944 = 23×31×3311

Prime Factorization of 7952


2 7952
2 3976
2 1988
2 994
7 497
71 71
1

Prime factors of 7952 are 2,7,71. Prime factorization of 7952 in exponential form is:

7952 = 24×71×711

∴ So by taking common prime factors GCF of 7944 and 7952 is 8

Greatest Common Factor of 7944 and 7952 by matching factors method

Factors of 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952

Greatest Common Factor

We found the factors and prime factorization of 7944 and 7952. The biggest common factor number is the GCF number.
So the greatest common factor 7944 and 7952 is 8.

Also check out the Least Common Multiple of 7944 and 7952

Properties of GCF 7944 and 7952

(i) The GCF of 7944 and 7952 is associative

GCF of 7944 and 7952 = GCF of 7952 and 7944

Related Greatest Common Factor of 7944

Related Greatest Common Factor of 7952

Frequently Asked Questions on GCF of 7944 and 7952

1. What is the GCF of 7944 and 7952?

Answer: GCF of 7944 and 7952 is 8.

2. What are the Factors of 7944?

Answer: Factors of 7944 are 1, 2, 3, 4, 6, 8, 12, 24, 331, 662, 993, 1324, 1986, 2648, 3972, 7944. There are 16 integers that are factors of 7944. The greatest factor of 7944 is 7944.

3. What are the Factors of 7952?

Answer: Factors of 7952 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976, 7952. There are 20 integers that are factors of 7952. The greatest factor of 7952 is 7952.

4. How to Find the GCF of 7944 and 7952?

Answer:

Greatest Common Factor of 7944 and 7952 = 8

Step 1: Find the prime factorization of 7944

7944 = 2 x 2 x 2 x 3 x 331

Step 2: Find the prime factorization of 7952

7952 = 2 x 2 x 2 x 2 x 7 x 71

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 7944 and 7952 is 8