Greatest Common Factor of 9966 and 9968

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 9966, 9968 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9966 and 9968 is 2.

GCF(9966,9968) = 2

GCF of 9966 and 9968

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

GCF of:
and

Greatest Common Factor of 9966 and 9968

GCF of 9966 and 9968 is 2

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

Prime Factorization of 9968


2 9968
2 4984
2 2492
2 1246
7 623
89 89
1

Prime factors of 9968 are 2,7,89. Prime factorization of 9968 in exponential form is:

9968 = 24×71×891

∴ So by taking common prime factors GCF of 9966 and 9968 is 2

Greatest Common Factor of 9966 and 9968 by matching factors method

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

Factors of 9968

List of positive integer factors of 9968 that divides 9968 without a remainder.

1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968

Greatest Common Factor

We found the factors and prime factorization of 9966 and 9968. The biggest common factor number is the GCF number.
So the greatest common factor 9966 and 9968 is 2.

Also check out the Least Common Multiple of 9966 and 9968

Properties of GCF 9966 and 9968

(i) The GCF of 9966 and 9968 is associative

GCF of 9966 and 9968 = GCF of 9968 and 9966

Related Greatest Common Factor of 9966

Related Greatest Common Factor of 9968

Frequently Asked Questions on GCF of 9966 and 9968

1. What is the GCF of 9966 and 9968?

Answer: GCF of 9966 and 9968 is 2.

2. 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.

3. What are the Factors of 9968?

Answer: Factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968. There are 20 integers that are factors of 9968. The greatest factor of 9968 is 9968.

4. How to Find the GCF of 9966 and 9968?

Answer:

Greatest Common Factor of 9966 and 9968 = 2

Step 1: Find the prime factorization of 9966

9966 = 2 x 3 x 11 x 151

Step 2: Find the prime factorization of 9968

9968 = 2 x 2 x 2 x 2 x 7 x 89

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9966 and 9968 is 2