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 3003, 3010 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3003 and 3010 is 7.
GCF(3003,3010) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3003
3 | 3003 |
7 | 1001 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 3003 are 3,7,11,13. Prime factorization of 3003 in exponential form is:
3003 = 31×71×111×131
Prime Factorization of 3010
2 | 3010 |
5 | 1505 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 3010 are 2,5,7,43. Prime factorization of 3010 in exponential form is:
3010 = 21×51×71×431
∴ So by taking common prime factors GCF of 3003 and 3010 is 7
Factors of 3003
List of positive integer factors of 3003 that divides 3003 without a remainder.
1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Factors of 3010
List of positive integer factors of 3010 that divides 3010 without a remainder.
1,2,5,7,10,14,35,43,70,86,215,301,430,602,1505,3010
Greatest Common Factor
We found the factors and prime factorization of 3003 and 3010. The biggest common factor number is the GCF number.
So the greatest common factor 3003 and 3010 is 7.
Also check out the Least Common Multiple of 3003 and 3010
(i) The GCF of 3003 and 3010 is associative
GCF of 3003 and 3010 = GCF of 3010 and 3003
1. What is the GCF of 3003 and 3010?
Answer: GCF of 3003 and 3010 is 7.
2. What are the Factors of 3003?
Answer: Factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003. There are 16 integers that are factors of 3003. The greatest factor of 3003 is 3003.
3. What are the Factors of 3010?
Answer: Factors of 3010 are 1, 2, 5, 7, 10, 14, 35, 43, 70, 86, 215, 301, 430, 602, 1505, 3010. There are 16 integers that are factors of 3010. The greatest factor of 3010 is 3010.
4. How to Find the GCF of 3003 and 3010?
Answer:
Greatest Common Factor of 3003 and 3010 = 7
Step 1: Find the prime factorization of 3003
3003 = 3 x 7 x 11 x 13
Step 2: Find the prime factorization of 3010
3010 = 2 x 5 x 7 x 43
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 3003 and 3010 is 7