Greatest Common Factor of 7960 and 7965

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 7960, 7965 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7960 and 7965 is 5.

GCF(7960,7965) = 5

GCF of 7960 and 7965

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

GCF of:
and

Greatest Common Factor of 7960 and 7965

GCF of 7960 and 7965 is 5

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

Prime Factorization of 7965


3 7965
3 2655
3 885
5 295
59 59
1

Prime factors of 7965 are 3,5,59. Prime factorization of 7965 in exponential form is:

7965 = 33×51×591

∴ So by taking common prime factors GCF of 7960 and 7965 is 5

Greatest Common Factor of 7960 and 7965 by matching factors method

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

Factors of 7965

List of positive integer factors of 7965 that divides 7965 without a remainder.

1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965

Greatest Common Factor

We found the factors and prime factorization of 7960 and 7965. The biggest common factor number is the GCF number.
So the greatest common factor 7960 and 7965 is 5.

Also check out the Least Common Multiple of 7960 and 7965

Properties of GCF 7960 and 7965

(i) The GCF of 7960 and 7965 is associative

GCF of 7960 and 7965 = GCF of 7965 and 7960

Related Greatest Common Factor of 7960

Related Greatest Common Factor of 7965

Frequently Asked Questions on GCF of 7960 and 7965

1. What is the GCF of 7960 and 7965?

Answer: GCF of 7960 and 7965 is 5.

2. 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.

3. What are the Factors of 7965?

Answer: Factors of 7965 are 1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965. There are 16 integers that are factors of 7965. The greatest factor of 7965 is 7965.

4. How to Find the GCF of 7960 and 7965?

Answer:

Greatest Common Factor of 7960 and 7965 = 5

Step 1: Find the prime factorization of 7960

7960 = 2 x 2 x 2 x 5 x 199

Step 2: Find the prime factorization of 7965

7965 = 3 x 3 x 3 x 5 x 59

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7960 and 7965 is 5