Greatest Common Factor of 9933 and 9940

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 9933, 9940 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9933 and 9940 is 7.

GCF(9933,9940) = 7

GCF of 9933 and 9940

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

GCF of:
and

Greatest Common Factor of 9933 and 9940

GCF of 9933 and 9940 is 7

Prime Factorization of 9933


3 9933
7 3311
11 473
43 43
1

Prime factors of 9933 are 3,7,11,43. Prime factorization of 9933 in exponential form is:

9933 = 31×71×111×431

Prime Factorization of 9940


2 9940
2 4970
5 2485
7 497
71 71
1

Prime factors of 9940 are 2,5,7,71. Prime factorization of 9940 in exponential form is:

9940 = 22×51×71×711

∴ So by taking common prime factors GCF of 9933 and 9940 is 7

Greatest Common Factor of 9933 and 9940 by matching factors method

Factors of 9933

List of positive integer factors of 9933 that divides 9933 without a remainder.

1,3,7,11,21,33,43,77,129,231,301,473,903,1419,3311,9933

Factors of 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940

Greatest Common Factor

We found the factors and prime factorization of 9933 and 9940. The biggest common factor number is the GCF number.
So the greatest common factor 9933 and 9940 is 7.

Also check out the Least Common Multiple of 9933 and 9940

Properties of GCF 9933 and 9940

(i) The GCF of 9933 and 9940 is associative

GCF of 9933 and 9940 = GCF of 9940 and 9933

Related Greatest Common Factor of 9933

Related Greatest Common Factor of 9940

Frequently Asked Questions on GCF of 9933 and 9940

1. What is the GCF of 9933 and 9940?

Answer: GCF of 9933 and 9940 is 7.

2. What are the Factors of 9933?

Answer: Factors of 9933 are 1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933. There are 16 integers that are factors of 9933. The greatest factor of 9933 is 9933.

3. What are the Factors of 9940?

Answer: Factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940. There are 24 integers that are factors of 9940. The greatest factor of 9940 is 9940.

4. How to Find the GCF of 9933 and 9940?

Answer:

Greatest Common Factor of 9933 and 9940 = 7

Step 1: Find the prime factorization of 9933

9933 = 3 x 7 x 11 x 43

Step 2: Find the prime factorization of 9940

9940 = 2 x 2 x 5 x 7 x 71

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9933 and 9940 is 7