Greatest Common Factor of 9908 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 9908, 9912 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9908 and 9912 is 4.

GCF(9908,9912) = 4

GCF of 9908 and 9912

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

GCF of:
and

Greatest Common Factor of 9908 and 9912

GCF of 9908 and 9912 is 4

Prime Factorization of 9908


2 9908
2 4954
2477 2477
1

Prime factors of 9908 are 2,2477. Prime factorization of 9908 in exponential form is:

9908 = 22×24771

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 9908 and 9912 is 4

Greatest Common Factor of 9908 and 9912 by matching factors method

Factors of 9908

List of positive integer factors of 9908 that divides 9908 without a remainder.

1,2,4,2477,4954,9908

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 9908 and 9912. The biggest common factor number is the GCF number.
So the greatest common factor 9908 and 9912 is 4.

Also check out the Least Common Multiple of 9908 and 9912

Properties of GCF 9908 and 9912

(i) The GCF of 9908 and 9912 is associative

GCF of 9908 and 9912 = GCF of 9912 and 9908

Related Greatest Common Factor of 9908

Related Greatest Common Factor of 9912

Frequently Asked Questions on GCF of 9908 and 9912

1. What is the GCF of 9908 and 9912?

Answer: GCF of 9908 and 9912 is 4.

2. What are the Factors of 9908?

Answer: Factors of 9908 are 1, 2, 4, 2477, 4954, 9908. There are 6 integers that are factors of 9908. The greatest factor of 9908 is 9908.

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 9908 and 9912?

Answer:

Greatest Common Factor of 9908 and 9912 = 4

Step 1: Find the prime factorization of 9908

9908 = 2 x 2 x 2477

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 = 4

Step 4: Therefore, the greatest common factor of 9908 and 9912 is 4