Greatest Common Factor of 7956 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 7956, 7960 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7956 and 7960 is 4.

GCF(7956,7960) = 4

GCF of 7956 and 7960

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

GCF of:
and

Greatest Common Factor of 7956 and 7960

GCF of 7956 and 7960 is 4

Prime Factorization of 7956


2 7956
2 3978
3 1989
3 663
13 221
17 17
1

Prime factors of 7956 are 2,3,13,17. Prime factorization of 7956 in exponential form is:

7956 = 22×32×131×171

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 7956 and 7960 is 4

Greatest Common Factor of 7956 and 7960 by matching factors method

Factors of 7956

List of positive integer factors of 7956 that divides 7956 without a remainder.

1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956

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 7956 and 7960. The biggest common factor number is the GCF number.
So the greatest common factor 7956 and 7960 is 4.

Also check out the Least Common Multiple of 7956 and 7960

Properties of GCF 7956 and 7960

(i) The GCF of 7956 and 7960 is associative

GCF of 7956 and 7960 = GCF of 7960 and 7956

Related Greatest Common Factor of 7956

Related Greatest Common Factor of 7960

Frequently Asked Questions on GCF of 7956 and 7960

1. What is the GCF of 7956 and 7960?

Answer: GCF of 7956 and 7960 is 4.

2. What are the Factors of 7956?

Answer: Factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956. There are 36 integers that are factors of 7956. The greatest factor of 7956 is 7956.

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 7956 and 7960?

Answer:

Greatest Common Factor of 7956 and 7960 = 4

Step 1: Find the prime factorization of 7956

7956 = 2 x 2 x 3 x 3 x 13 x 17

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 = 4

Step 4: Therefore, the greatest common factor of 7956 and 7960 is 4