Greatest Common Factor of 9960 and 9966

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, 9966 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9960 and 9966 is 6.

GCF(9960,9966) = 6

GCF of 9960 and 9966

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

GCF of:
and

Greatest Common Factor of 9960 and 9966

GCF of 9960 and 9966 is 6

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 9966


2 9966
3 4983
11 1661
151 151
1

Prime factors of 9966 are 2,3,11,151. Prime factorization of 9966 in exponential form is:

9966 = 21×31×111×1511

∴ So by taking common prime factors GCF of 9960 and 9966 is 6

Greatest Common Factor of 9960 and 9966 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 9966

List of positive integer factors of 9966 that divides 9966 without a remainder.

1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966

Greatest Common Factor

We found the factors and prime factorization of 9960 and 9966. The biggest common factor number is the GCF number.
So the greatest common factor 9960 and 9966 is 6.

Also check out the Least Common Multiple of 9960 and 9966

Properties of GCF 9960 and 9966

(i) The GCF of 9960 and 9966 is associative

GCF of 9960 and 9966 = GCF of 9966 and 9960

Related Greatest Common Factor of 9960

Related Greatest Common Factor of 9966

Frequently Asked Questions on GCF of 9960 and 9966

1. What is the GCF of 9960 and 9966?

Answer: GCF of 9960 and 9966 is 6.

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 9966?

Answer: Factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966. There are 16 integers that are factors of 9966. The greatest factor of 9966 is 9966.

4. How to Find the GCF of 9960 and 9966?

Answer:

Greatest Common Factor of 9960 and 9966 = 6

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 9966

9966 = 2 x 3 x 11 x 151

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9960 and 9966 is 6