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 2997, 3005 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2997 and 3005 is 1.
GCF(2997,3005) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2997
3 | 2997 |
3 | 999 |
3 | 333 |
3 | 111 |
37 | 37 |
1 |
Prime factors of 2997 are 3,37. Prime factorization of 2997 in exponential form is:
2997 = 34×371
Prime Factorization of 3005
5 | 3005 |
601 | 601 |
1 |
Prime factors of 3005 are 5,601. Prime factorization of 3005 in exponential form is:
3005 = 51×6011
∴ So by taking common prime factors GCF of 2997 and 3005 is 1
Factors of 2997
List of positive integer factors of 2997 that divides 2997 without a remainder.
1,3,9,27,37,81,111,333,999,2997
Factors of 3005
List of positive integer factors of 3005 that divides 3005 without a remainder.
1,5,601,3005
Greatest Common Factor
We found the factors and prime factorization of 2997 and 3005. The biggest common factor number is the GCF number.
So the greatest common factor 2997 and 3005 is 1.
Also check out the Least Common Multiple of 2997 and 3005
(i) The GCF of 2997 and 3005 is associative
GCF of 2997 and 3005 = GCF of 3005 and 2997
1. What is the GCF of 2997 and 3005?
Answer: GCF of 2997 and 3005 is 1.
2. What are the Factors of 2997?
Answer: Factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997. There are 10 integers that are factors of 2997. The greatest factor of 2997 is 2997.
3. What are the Factors of 3005?
Answer: Factors of 3005 are 1, 5, 601, 3005. There are 4 integers that are factors of 3005. The greatest factor of 3005 is 3005.
4. How to Find the GCF of 2997 and 3005?
Answer:
Greatest Common Factor of 2997 and 3005 = 1
Step 1: Find the prime factorization of 2997
2997 = 3 x 3 x 3 x 3 x 37
Step 2: Find the prime factorization of 3005
3005 = 5 x 601
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 2997 and 3005 is 1