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 2998, 3003 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2998 and 3003 is 1.
GCF(2998,3003) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2998
2 | 2998 |
1499 | 1499 |
1 |
Prime factors of 2998 are 2,1499. Prime factorization of 2998 in exponential form is:
2998 = 21×14991
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
∴ So by taking common prime factors GCF of 2998 and 3003 is 1
Factors of 2998
List of positive integer factors of 2998 that divides 2998 without a remainder.
1,2,1499,2998
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
Greatest Common Factor
We found the factors and prime factorization of 2998 and 3003. The biggest common factor number is the GCF number.
So the greatest common factor 2998 and 3003 is 1.
Also check out the Least Common Multiple of 2998 and 3003
(i) The GCF of 2998 and 3003 is associative
GCF of 2998 and 3003 = GCF of 3003 and 2998
1. What is the GCF of 2998 and 3003?
Answer: GCF of 2998 and 3003 is 1.
2. What are the Factors of 2998?
Answer: Factors of 2998 are 1, 2, 1499, 2998. There are 4 integers that are factors of 2998. The greatest factor of 2998 is 2998.
3. 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.
4. How to Find the GCF of 2998 and 3003?
Answer:
Greatest Common Factor of 2998 and 3003 = 1
Step 1: Find the prime factorization of 2998
2998 = 2 x 1499
Step 2: Find the prime factorization of 3003
3003 = 3 x 7 x 11 x 13
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 2998 and 3003 is 1