Greatest Common Factor of 9996 and 10001

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 9996, 10001 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9996 and 10001 is 1.

GCF(9996,10001) = 1

GCF of 9996 and 10001

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

GCF of:
and

Greatest Common Factor of 9996 and 10001

GCF of 9996 and 10001 is 1

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

Prime Factorization of 10001


73 10001
137 137
1

Prime factors of 10001 are 73,137. Prime factorization of 10001 in exponential form is:

10001 = 731×1371

∴ So by taking common prime factors GCF of 9996 and 10001 is 1

Greatest Common Factor of 9996 and 10001 by matching factors method

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

Factors of 10001

List of positive integer factors of 10001 that divides 10001 without a remainder.

1,73,137,10001

Greatest Common Factor

We found the factors and prime factorization of 9996 and 10001. The biggest common factor number is the GCF number.
So the greatest common factor 9996 and 10001 is 1.

Also check out the Least Common Multiple of 9996 and 10001

Properties of GCF 9996 and 10001

(i) The GCF of 9996 and 10001 is associative

GCF of 9996 and 10001 = GCF of 10001 and 9996

Related Greatest Common Factor of 9996

Related Greatest Common Factor of 10001

Frequently Asked Questions on GCF of 9996 and 10001

1. What is the GCF of 9996 and 10001?

Answer: GCF of 9996 and 10001 is 1.

2. 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.

3. What are the Factors of 10001?

Answer: Factors of 10001 are 1, 73, 137, 10001. There are 4 integers that are factors of 10001. The greatest factor of 10001 is 10001.

4. How to Find the GCF of 9996 and 10001?

Answer:

Greatest Common Factor of 9996 and 10001 = 1

Step 1: Find the prime factorization of 9996

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

Step 2: Find the prime factorization of 10001

10001 = 73 x 137

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9996 and 10001 is 1