Greatest Common Factor of 9924 and 9928

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, 9928 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9924 and 9928 is 4.

GCF(9924,9928) = 4

GCF of 9924 and 9928

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

GCF of:
and

Greatest Common Factor of 9924 and 9928

GCF of 9924 and 9928 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 9928


2 9928
2 4964
2 2482
17 1241
73 73
1

Prime factors of 9928 are 2,17,73. Prime factorization of 9928 in exponential form is:

9928 = 23×171×731

∴ So by taking common prime factors GCF of 9924 and 9928 is 4

Greatest Common Factor of 9924 and 9928 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 9928

List of positive integer factors of 9928 that divides 9928 without a remainder.

1,2,4,8,17,34,68,73,136,146,292,584,1241,2482,4964,9928

Greatest Common Factor

We found the factors and prime factorization of 9924 and 9928. The biggest common factor number is the GCF number.
So the greatest common factor 9924 and 9928 is 4.

Also check out the Least Common Multiple of 9924 and 9928

Properties of GCF 9924 and 9928

(i) The GCF of 9924 and 9928 is associative

GCF of 9924 and 9928 = GCF of 9928 and 9924

Related Greatest Common Factor of 9924

Related Greatest Common Factor of 9928

Frequently Asked Questions on GCF of 9924 and 9928

1. What is the GCF of 9924 and 9928?

Answer: GCF of 9924 and 9928 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 9928?

Answer: Factors of 9928 are 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928. There are 16 integers that are factors of 9928. The greatest factor of 9928 is 9928.

4. How to Find the GCF of 9924 and 9928?

Answer:

Greatest Common Factor of 9924 and 9928 = 4

Step 1: Find the prime factorization of 9924

9924 = 2 x 2 x 3 x 827

Step 2: Find the prime factorization of 9928

9928 = 2 x 2 x 2 x 17 x 73

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 9928 is 4