Greatest Common Factor of 9912 and 9918

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 9912, 9918 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9912 and 9918 is 6.

GCF(9912,9918) = 6

GCF of 9912 and 9918

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

GCF of:
and

Greatest Common Factor of 9912 and 9918

GCF of 9912 and 9918 is 6

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

Prime Factorization of 9918


2 9918
3 4959
3 1653
19 551
29 29
1

Prime factors of 9918 are 2,3,19,29. Prime factorization of 9918 in exponential form is:

9918 = 21×32×191×291

∴ So by taking common prime factors GCF of 9912 and 9918 is 6

Greatest Common Factor of 9912 and 9918 by matching factors method

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

Factors of 9918

List of positive integer factors of 9918 that divides 9918 without a remainder.

1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918

Greatest Common Factor

We found the factors and prime factorization of 9912 and 9918. The biggest common factor number is the GCF number.
So the greatest common factor 9912 and 9918 is 6.

Also check out the Least Common Multiple of 9912 and 9918

Properties of GCF 9912 and 9918

(i) The GCF of 9912 and 9918 is associative

GCF of 9912 and 9918 = GCF of 9918 and 9912

Related Greatest Common Factor of 9912

Related Greatest Common Factor of 9918

Frequently Asked Questions on GCF of 9912 and 9918

1. What is the GCF of 9912 and 9918?

Answer: GCF of 9912 and 9918 is 6.

2. 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.

3. What are the Factors of 9918?

Answer: Factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918. There are 24 integers that are factors of 9918. The greatest factor of 9918 is 9918.

4. How to Find the GCF of 9912 and 9918?

Answer:

Greatest Common Factor of 9912 and 9918 = 6

Step 1: Find the prime factorization of 9912

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

Step 2: Find the prime factorization of 9918

9918 = 2 x 3 x 3 x 19 x 29

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9912 and 9918 is 6