Greatest Common Factor of 9936 and 9940

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 9936, 9940 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9936 and 9940 is 4.

GCF(9936,9940) = 4

GCF of 9936 and 9940

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

GCF of:
and

Greatest Common Factor of 9936 and 9940

GCF of 9936 and 9940 is 4

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

Prime Factorization of 9940


2 9940
2 4970
5 2485
7 497
71 71
1

Prime factors of 9940 are 2,5,7,71. Prime factorization of 9940 in exponential form is:

9940 = 22×51×71×711

∴ So by taking common prime factors GCF of 9936 and 9940 is 4

Greatest Common Factor of 9936 and 9940 by matching factors method

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

Factors of 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940

Greatest Common Factor

We found the factors and prime factorization of 9936 and 9940. The biggest common factor number is the GCF number.
So the greatest common factor 9936 and 9940 is 4.

Also check out the Least Common Multiple of 9936 and 9940

Properties of GCF 9936 and 9940

(i) The GCF of 9936 and 9940 is associative

GCF of 9936 and 9940 = GCF of 9940 and 9936

Related Greatest Common Factor of 9936

Related Greatest Common Factor of 9940

Frequently Asked Questions on GCF of 9936 and 9940

1. What is the GCF of 9936 and 9940?

Answer: GCF of 9936 and 9940 is 4.

2. 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.

3. What are the Factors of 9940?

Answer: Factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940. There are 24 integers that are factors of 9940. The greatest factor of 9940 is 9940.

4. How to Find the GCF of 9936 and 9940?

Answer:

Greatest Common Factor of 9936 and 9940 = 4

Step 1: Find the prime factorization of 9936

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

Step 2: Find the prime factorization of 9940

9940 = 2 x 2 x 5 x 7 x 71

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 9936 and 9940 is 4