Greatest Common Factor of 9912 and 9919

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, 9919 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9912 and 9919 is 7.

GCF(9912,9919) = 7

GCF of 9912 and 9919

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

GCF of:
and

Greatest Common Factor of 9912 and 9919

GCF of 9912 and 9919 is 7

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 9919


7 9919
13 1417
109 109
1

Prime factors of 9919 are 7,13,109. Prime factorization of 9919 in exponential form is:

9919 = 71×131×1091

∴ So by taking common prime factors GCF of 9912 and 9919 is 7

Greatest Common Factor of 9912 and 9919 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 9919

List of positive integer factors of 9919 that divides 9919 without a remainder.

1,7,13,91,109,763,1417,9919

Greatest Common Factor

We found the factors and prime factorization of 9912 and 9919. The biggest common factor number is the GCF number.
So the greatest common factor 9912 and 9919 is 7.

Also check out the Least Common Multiple of 9912 and 9919

Properties of GCF 9912 and 9919

(i) The GCF of 9912 and 9919 is associative

GCF of 9912 and 9919 = GCF of 9919 and 9912

Related Greatest Common Factor of 9912

Related Greatest Common Factor of 9919

Frequently Asked Questions on GCF of 9912 and 9919

1. What is the GCF of 9912 and 9919?

Answer: GCF of 9912 and 9919 is 7.

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 9919?

Answer: Factors of 9919 are 1, 7, 13, 91, 109, 763, 1417, 9919. There are 8 integers that are factors of 9919. The greatest factor of 9919 is 9919.

4. How to Find the GCF of 9912 and 9919?

Answer:

Greatest Common Factor of 9912 and 9919 = 7

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 9919

9919 = 7 x 13 x 109

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9912 and 9919 is 7