Greatest Common Factor of 7952 and 7960

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 7952, 7960 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7952 and 7960 is 8.

GCF(7952,7960) = 8

GCF of 7952 and 7960

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

GCF of:
and

Greatest Common Factor of 7952 and 7960

GCF of 7952 and 7960 is 8

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

Prime Factorization of 7960


2 7960
2 3980
2 1990
5 995
199 199
1

Prime factors of 7960 are 2,5,199. Prime factorization of 7960 in exponential form is:

7960 = 23×51×1991

∴ So by taking common prime factors GCF of 7952 and 7960 is 8

Greatest Common Factor of 7952 and 7960 by matching factors method

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

Factors of 7960

List of positive integer factors of 7960 that divides 7960 without a remainder.

1,2,4,5,8,10,20,40,199,398,796,995,1592,1990,3980,7960

Greatest Common Factor

We found the factors and prime factorization of 7952 and 7960. The biggest common factor number is the GCF number.
So the greatest common factor 7952 and 7960 is 8.

Also check out the Least Common Multiple of 7952 and 7960

Properties of GCF 7952 and 7960

(i) The GCF of 7952 and 7960 is associative

GCF of 7952 and 7960 = GCF of 7960 and 7952

Related Greatest Common Factor of 7952

Related Greatest Common Factor of 7960

Frequently Asked Questions on GCF of 7952 and 7960

1. What is the GCF of 7952 and 7960?

Answer: GCF of 7952 and 7960 is 8.

2. 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.

3. What are the Factors of 7960?

Answer: Factors of 7960 are 1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960. There are 16 integers that are factors of 7960. The greatest factor of 7960 is 7960.

4. How to Find the GCF of 7952 and 7960?

Answer:

Greatest Common Factor of 7952 and 7960 = 8

Step 1: Find the prime factorization of 7952

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

Step 2: Find the prime factorization of 7960

7960 = 2 x 2 x 2 x 5 x 199

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 7952 and 7960 is 8