Greatest Common Factor of 9926 and 9933

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 9926, 9933 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9926 and 9933 is 7.

GCF(9926,9933) = 7

GCF of 9926 and 9933

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

GCF of:
and

Greatest Common Factor of 9926 and 9933

GCF of 9926 and 9933 is 7

Prime Factorization of 9926


2 9926
7 4963
709 709
1

Prime factors of 9926 are 2,7,709. Prime factorization of 9926 in exponential form is:

9926 = 21×71×7091

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

∴ So by taking common prime factors GCF of 9926 and 9933 is 7

Greatest Common Factor of 9926 and 9933 by matching factors method

Factors of 9926

List of positive integer factors of 9926 that divides 9926 without a remainder.

1,2,7,14,709,1418,4963,9926

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

Greatest Common Factor

We found the factors and prime factorization of 9926 and 9933. The biggest common factor number is the GCF number.
So the greatest common factor 9926 and 9933 is 7.

Also check out the Least Common Multiple of 9926 and 9933

Properties of GCF 9926 and 9933

(i) The GCF of 9926 and 9933 is associative

GCF of 9926 and 9933 = GCF of 9933 and 9926

Related Greatest Common Factor of 9926

Related Greatest Common Factor of 9933

Frequently Asked Questions on GCF of 9926 and 9933

1. What is the GCF of 9926 and 9933?

Answer: GCF of 9926 and 9933 is 7.

2. What are the Factors of 9926?

Answer: Factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926. There are 8 integers that are factors of 9926. The greatest factor of 9926 is 9926.

3. 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.

4. How to Find the GCF of 9926 and 9933?

Answer:

Greatest Common Factor of 9926 and 9933 = 7

Step 1: Find the prime factorization of 9926

9926 = 2 x 7 x 709

Step 2: Find the prime factorization of 9933

9933 = 3 x 7 x 11 x 43

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 9926 and 9933 is 7