Greatest Common Factor of 10010 and 10016

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 10010, 10016 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10010 and 10016 is 2.

GCF(10010,10016) = 2

GCF of 10010 and 10016

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

GCF of:
and

Greatest Common Factor of 10010 and 10016

GCF of 10010 and 10016 is 2

Prime Factorization of 10010


2 10010
5 5005
7 1001
11 143
13 13
1

Prime factors of 10010 are 2,5,7,11,13. Prime factorization of 10010 in exponential form is:

10010 = 21×51×71×111×131

Prime Factorization of 10016


2 10016
2 5008
2 2504
2 1252
2 626
313 313
1

Prime factors of 10016 are 2,313. Prime factorization of 10016 in exponential form is:

10016 = 25×3131

∴ So by taking common prime factors GCF of 10010 and 10016 is 2

Greatest Common Factor of 10010 and 10016 by matching factors method

Factors of 10010

List of positive integer factors of 10010 that divides 10010 without a remainder.

1,2,5,7,10,11,13,14,22,26,35,55,65,70,77,91,110,130,143,154,182,286,385,455,715,770,910,1001,1430,2002,5005,10010

Factors of 10016

List of positive integer factors of 10016 that divides 10016 without a remainder.

1,2,4,8,16,32,313,626,1252,2504,5008,10016

Greatest Common Factor

We found the factors and prime factorization of 10010 and 10016. The biggest common factor number is the GCF number.
So the greatest common factor 10010 and 10016 is 2.

Also check out the Least Common Multiple of 10010 and 10016

Properties of GCF 10010 and 10016

(i) The GCF of 10010 and 10016 is associative

GCF of 10010 and 10016 = GCF of 10016 and 10010

Related Greatest Common Factor of 10010

Related Greatest Common Factor of 10016

Frequently Asked Questions on GCF of 10010 and 10016

1. What is the GCF of 10010 and 10016?

Answer: GCF of 10010 and 10016 is 2.

2. What are the Factors of 10010?

Answer: Factors of 10010 are 1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91, 110, 130, 143, 154, 182, 286, 385, 455, 715, 770, 910, 1001, 1430, 2002, 5005, 10010. There are 32 integers that are factors of 10010. The greatest factor of 10010 is 10010.

3. What are the Factors of 10016?

Answer: Factors of 10016 are 1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016. There are 12 integers that are factors of 10016. The greatest factor of 10016 is 10016.

4. How to Find the GCF of 10010 and 10016?

Answer:

Greatest Common Factor of 10010 and 10016 = 2

Step 1: Find the prime factorization of 10010

10010 = 2 x 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 10016

10016 = 2 x 2 x 2 x 2 x 2 x 313

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 10010 and 10016 is 2