Greatest Common Factor of 9924 and 9932

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 9924, 9932 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9924 and 9932 is 4.

GCF(9924,9932) = 4

GCF of 9924 and 9932

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

GCF of:
and

Greatest Common Factor of 9924 and 9932

GCF of 9924 and 9932 is 4

Prime Factorization of 9924


2 9924
2 4962
3 2481
827 827
1

Prime factors of 9924 are 2,3,827. Prime factorization of 9924 in exponential form is:

9924 = 22×31×8271

Prime Factorization of 9932


2 9932
2 4966
13 2483
191 191
1

Prime factors of 9932 are 2,13,191. Prime factorization of 9932 in exponential form is:

9932 = 22×131×1911

∴ So by taking common prime factors GCF of 9924 and 9932 is 4

Greatest Common Factor of 9924 and 9932 by matching factors method

Factors of 9924

List of positive integer factors of 9924 that divides 9924 without a remainder.

1,2,3,4,6,12,827,1654,2481,3308,4962,9924

Factors of 9932

List of positive integer factors of 9932 that divides 9932 without a remainder.

1,2,4,13,26,52,191,382,764,2483,4966,9932

Greatest Common Factor

We found the factors and prime factorization of 9924 and 9932. The biggest common factor number is the GCF number.
So the greatest common factor 9924 and 9932 is 4.

Also check out the Least Common Multiple of 9924 and 9932

Properties of GCF 9924 and 9932

(i) The GCF of 9924 and 9932 is associative

GCF of 9924 and 9932 = GCF of 9932 and 9924

Related Greatest Common Factor of 9924

Related Greatest Common Factor of 9932

Frequently Asked Questions on GCF of 9924 and 9932

1. What is the GCF of 9924 and 9932?

Answer: GCF of 9924 and 9932 is 4.

2. What are the Factors of 9924?

Answer: Factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924. There are 12 integers that are factors of 9924. The greatest factor of 9924 is 9924.

3. What are the Factors of 9932?

Answer: Factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932. There are 12 integers that are factors of 9932. The greatest factor of 9932 is 9932.

4. How to Find the GCF of 9924 and 9932?

Answer:

Greatest Common Factor of 9924 and 9932 = 4

Step 1: Find the prime factorization of 9924

9924 = 2 x 2 x 3 x 827

Step 2: Find the prime factorization of 9932

9932 = 2 x 2 x 13 x 191

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9924 and 9932 is 4