Greatest Common Factor of 9904 and 9912

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 9904, 9912 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9904 and 9912 is 8.

GCF(9904,9912) = 8

GCF of 9904 and 9912

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

GCF of:
and

Greatest Common Factor of 9904 and 9912

GCF of 9904 and 9912 is 8

Prime Factorization of 9904


2 9904
2 4952
2 2476
2 1238
619 619
1

Prime factors of 9904 are 2,619. Prime factorization of 9904 in exponential form is:

9904 = 24×6191

Prime Factorization of 9912


2 9912
2 4956
2 2478
3 1239
7 413
59 59
1

Prime factors of 9912 are 2,3,7,59. Prime factorization of 9912 in exponential form is:

9912 = 23×31×71×591

∴ So by taking common prime factors GCF of 9904 and 9912 is 8

Greatest Common Factor of 9904 and 9912 by matching factors method

Factors of 9904

List of positive integer factors of 9904 that divides 9904 without a remainder.

1,2,4,8,16,619,1238,2476,4952,9904

Factors of 9912

List of positive integer factors of 9912 that divides 9912 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912

Greatest Common Factor

We found the factors and prime factorization of 9904 and 9912. The biggest common factor number is the GCF number.
So the greatest common factor 9904 and 9912 is 8.

Also check out the Least Common Multiple of 9904 and 9912

Properties of GCF 9904 and 9912

(i) The GCF of 9904 and 9912 is associative

GCF of 9904 and 9912 = GCF of 9912 and 9904

Related Greatest Common Factor of 9904

Related Greatest Common Factor of 9912

Frequently Asked Questions on GCF of 9904 and 9912

1. What is the GCF of 9904 and 9912?

Answer: GCF of 9904 and 9912 is 8.

2. What are the Factors of 9904?

Answer: Factors of 9904 are 1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904. There are 10 integers that are factors of 9904. The greatest factor of 9904 is 9904.

3. What are the Factors of 9912?

Answer: Factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912. There are 32 integers that are factors of 9912. The greatest factor of 9912 is 9912.

4. How to Find the GCF of 9904 and 9912?

Answer:

Greatest Common Factor of 9904 and 9912 = 8

Step 1: Find the prime factorization of 9904

9904 = 2 x 2 x 2 x 2 x 619

Step 2: Find the prime factorization of 9912

9912 = 2 x 2 x 2 x 3 x 7 x 59

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9904 and 9912 is 8