Greatest Common Factor of 9992 and 9996

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 9992, 9996 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9992 and 9996 is 4.

GCF(9992,9996) = 4

GCF of 9992 and 9996

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

GCF of:
and

Greatest Common Factor of 9992 and 9996

GCF of 9992 and 9996 is 4

Prime Factorization of 9992


2 9992
2 4996
2 2498
1249 1249
1

Prime factors of 9992 are 2,1249. Prime factorization of 9992 in exponential form is:

9992 = 23×12491

Prime Factorization of 9996


2 9996
2 4998
3 2499
7 833
7 119
17 17
1

Prime factors of 9996 are 2,3,7,17. Prime factorization of 9996 in exponential form is:

9996 = 22×31×72×171

∴ So by taking common prime factors GCF of 9992 and 9996 is 4

Greatest Common Factor of 9992 and 9996 by matching factors method

Factors of 9992

List of positive integer factors of 9992 that divides 9992 without a remainder.

1,2,4,8,1249,2498,4996,9992

Factors of 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,49,51,68,84,98,102,119,147,196,204,238,294,357,476,588,714,833,1428,1666,2499,3332,4998,9996

Greatest Common Factor

We found the factors and prime factorization of 9992 and 9996. The biggest common factor number is the GCF number.
So the greatest common factor 9992 and 9996 is 4.

Also check out the Least Common Multiple of 9992 and 9996

Properties of GCF 9992 and 9996

(i) The GCF of 9992 and 9996 is associative

GCF of 9992 and 9996 = GCF of 9996 and 9992

Related Greatest Common Factor of 9992

Related Greatest Common Factor of 9996

Frequently Asked Questions on GCF of 9992 and 9996

1. What is the GCF of 9992 and 9996?

Answer: GCF of 9992 and 9996 is 4.

2. What are the Factors of 9992?

Answer: Factors of 9992 are 1, 2, 4, 8, 1249, 2498, 4996, 9992. There are 8 integers that are factors of 9992. The greatest factor of 9992 is 9992.

3. What are the Factors of 9996?

Answer: Factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996. There are 36 integers that are factors of 9996. The greatest factor of 9996 is 9996.

4. How to Find the GCF of 9992 and 9996?

Answer:

Greatest Common Factor of 9992 and 9996 = 4

Step 1: Find the prime factorization of 9992

9992 = 2 x 2 x 2 x 1249

Step 2: Find the prime factorization of 9996

9996 = 2 x 2 x 3 x 7 x 7 x 17

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 9992 and 9996 is 4