Greatest Common Factor of 9934 and 9936

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 9934, 9936 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9934 and 9936 is 2.

GCF(9934,9936) = 2

GCF of 9934 and 9936

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

GCF of:
and

Greatest Common Factor of 9934 and 9936

GCF of 9934 and 9936 is 2

Prime Factorization of 9934


2 9934
4967 4967
1

Prime factors of 9934 are 2,4967. Prime factorization of 9934 in exponential form is:

9934 = 21×49671

Prime Factorization of 9936


2 9936
2 4968
2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 9936 are 2,3,23. Prime factorization of 9936 in exponential form is:

9936 = 24×33×231

∴ So by taking common prime factors GCF of 9934 and 9936 is 2

Greatest Common Factor of 9934 and 9936 by matching factors method

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1,2,4967,9934

Factors of 9936

List of positive integer factors of 9936 that divides 9936 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,27,36,46,48,54,69,72,92,108,138,144,184,207,216,276,368,414,432,552,621,828,1104,1242,1656,2484,3312,4968,9936

Greatest Common Factor

We found the factors and prime factorization of 9934 and 9936. The biggest common factor number is the GCF number.
So the greatest common factor 9934 and 9936 is 2.

Also check out the Least Common Multiple of 9934 and 9936

Properties of GCF 9934 and 9936

(i) The GCF of 9934 and 9936 is associative

GCF of 9934 and 9936 = GCF of 9936 and 9934

Related Greatest Common Factor of 9934

Related Greatest Common Factor of 9936

Frequently Asked Questions on GCF of 9934 and 9936

1. What is the GCF of 9934 and 9936?

Answer: GCF of 9934 and 9936 is 2.

2. What are the Factors of 9934?

Answer: Factors of 9934 are 1, 2, 4967, 9934. There are 4 integers that are factors of 9934. The greatest factor of 9934 is 9934.

3. What are the Factors of 9936?

Answer: Factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936. There are 40 integers that are factors of 9936. The greatest factor of 9936 is 9936.

4. How to Find the GCF of 9934 and 9936?

Answer:

Greatest Common Factor of 9934 and 9936 = 2

Step 1: Find the prime factorization of 9934

9934 = 2 x 4967

Step 2: Find the prime factorization of 9936

9936 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 23

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9934 and 9936 is 2