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, 10017 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10010 and 10017 is 7.
GCF(10010,10017) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 10017
3 | 10017 |
3 | 3339 |
3 | 1113 |
7 | 371 |
53 | 53 |
1 |
Prime factors of 10017 are 3,7,53. Prime factorization of 10017 in exponential form is:
10017 = 33×71×531
∴ So by taking common prime factors GCF of 10010 and 10017 is 7
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 10017
List of positive integer factors of 10017 that divides 10017 without a remainder.
1,3,7,9,21,27,53,63,159,189,371,477,1113,1431,3339,10017
Greatest Common Factor
We found the factors and prime factorization of 10010 and 10017. The biggest common factor number is the GCF number.
So the greatest common factor 10010 and 10017 is 7.
Also check out the Least Common Multiple of 10010 and 10017
(i) The GCF of 10010 and 10017 is associative
GCF of 10010 and 10017 = GCF of 10017 and 10010
1. What is the GCF of 10010 and 10017?
Answer: GCF of 10010 and 10017 is 7.
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 10017?
Answer: Factors of 10017 are 1, 3, 7, 9, 21, 27, 53, 63, 159, 189, 371, 477, 1113, 1431, 3339, 10017. There are 16 integers that are factors of 10017. The greatest factor of 10017 is 10017.
4. How to Find the GCF of 10010 and 10017?
Answer:
Greatest Common Factor of 10010 and 10017 = 7
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 10017
10017 = 3 x 3 x 3 x 7 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 10010 and 10017 is 7