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 3001, 3006 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3001 and 3006 is 1.
GCF(3001,3006) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3001
3001 | 3001 |
1 |
Prime factors of 3001 are 3001. Prime factorization of 3001 in exponential form is:
3001 = 30011
Prime Factorization of 3006
2 | 3006 |
3 | 1503 |
3 | 501 |
167 | 167 |
1 |
Prime factors of 3006 are 2.Prime factorization of 3006 in exponential form is:
3006 = 21×32×1671
∴ So by taking common prime factors GCF of 3001 and 3006 is 1
Factors of 3001
List of positive integer factors of 3001 that divides 3001 without a remainder.
1,3001
Factors of 3006
List of positive integer factors of 3006 that divides 3006 without a remainder.
1,2,3,6,9,18,167,334,501,1002,1503,3006
Greatest Common Factor
We found the factors and prime factorization of 3001 and 3006. The biggest common factor number is the GCF number.
So the greatest common factor 3001 and 3006 is 1.
Also check out the Least Common Multiple of 3001 and 3006
(i) The GCF of 3001 and 3006 is associative
GCF of 3001 and 3006 = GCF of 3006 and 3001
1. What is the GCF of 3001 and 3006?
Answer: GCF of 3001 and 3006 is 1.
2. What are the Factors of 3001?
Answer: Factors of 3001 are 1, 3001. There are 2 integers that are factors of 3001. The greatest factor of 3001 is 3001.
3. What are the Factors of 3006?
Answer: Factors of 3006 are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006. There are 12 integers that are factors of 3006. The greatest factor of 3006 is 3006.
4. How to Find the GCF of 3001 and 3006?
Answer:
Greatest Common Factor of 3001 and 3006 = 1
Step 1: Find the prime factorization of 3001
3001 = 3001
Step 2: Find the prime factorization of 3006
3006 = 2 x 3 x 3 x 167
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 3001 and 3006 is 1