Greatest Common Factor of 9960 and 9965

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 9960, 9965 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9960 and 9965 is 5.

GCF(9960,9965) = 5

GCF of 9960 and 9965

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

GCF of:
and

Greatest Common Factor of 9960 and 9965

GCF of 9960 and 9965 is 5

Prime Factorization of 9960


2 9960
2 4980
2 2490
3 1245
5 415
83 83
1

Prime factors of 9960 are 2,3,5,83. Prime factorization of 9960 in exponential form is:

9960 = 23×31×51×831

Prime Factorization of 9965


5 9965
1993 1993
1

Prime factors of 9965 are 5,1993. Prime factorization of 9965 in exponential form is:

9965 = 51×19931

∴ So by taking common prime factors GCF of 9960 and 9965 is 5

Greatest Common Factor of 9960 and 9965 by matching factors method

Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Factors of 9965

List of positive integer factors of 9965 that divides 9965 without a remainder.

1,5,1993,9965

Greatest Common Factor

We found the factors and prime factorization of 9960 and 9965. The biggest common factor number is the GCF number.
So the greatest common factor 9960 and 9965 is 5.

Also check out the Least Common Multiple of 9960 and 9965

Properties of GCF 9960 and 9965

(i) The GCF of 9960 and 9965 is associative

GCF of 9960 and 9965 = GCF of 9965 and 9960

Related Greatest Common Factor of 9960

Related Greatest Common Factor of 9965

Frequently Asked Questions on GCF of 9960 and 9965

1. What is the GCF of 9960 and 9965?

Answer: GCF of 9960 and 9965 is 5.

2. What are the Factors of 9960?

Answer: Factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960. There are 32 integers that are factors of 9960. The greatest factor of 9960 is 9960.

3. What are the Factors of 9965?

Answer: Factors of 9965 are 1, 5, 1993, 9965. There are 4 integers that are factors of 9965. The greatest factor of 9965 is 9965.

4. How to Find the GCF of 9960 and 9965?

Answer:

Greatest Common Factor of 9960 and 9965 = 5

Step 1: Find the prime factorization of 9960

9960 = 2 x 2 x 2 x 3 x 5 x 83

Step 2: Find the prime factorization of 9965

9965 = 5 x 1993

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 9960 and 9965 is 5