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 3009, 3014 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3009 and 3014 is 1.
GCF(3009,3014) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3009
3 | 3009 |
17 | 1003 |
59 | 59 |
1 |
Prime factors of 3009 are 3,17,59. Prime factorization of 3009 in exponential form is:
3009 = 31×171×591
Prime Factorization of 3014
2 | 3014 |
11 | 1507 |
137 | 137 |
1 |
Prime factors of 3014 are 2,11,137. Prime factorization of 3014 in exponential form is:
3014 = 21×111×1371
∴ So by taking common prime factors GCF of 3009 and 3014 is 1
Factors of 3009
List of positive integer factors of 3009 that divides 3009 without a remainder.
1,3,17,51,59,177,1003,3009
Factors of 3014
List of positive integer factors of 3014 that divides 3014 without a remainder.
1,2,11,22,137,274,1507,3014
Greatest Common Factor
We found the factors and prime factorization of 3009 and 3014. The biggest common factor number is the GCF number.
So the greatest common factor 3009 and 3014 is 1.
Also check out the Least Common Multiple of 3009 and 3014
(i) The GCF of 3009 and 3014 is associative
GCF of 3009 and 3014 = GCF of 3014 and 3009
1. What is the GCF of 3009 and 3014?
Answer: GCF of 3009 and 3014 is 1.
2. What are the Factors of 3009?
Answer: Factors of 3009 are 1, 3, 17, 51, 59, 177, 1003, 3009. There are 8 integers that are factors of 3009. The greatest factor of 3009 is 3009.
3. What are the Factors of 3014?
Answer: Factors of 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014. There are 8 integers that are factors of 3014. The greatest factor of 3014 is 3014.
4. How to Find the GCF of 3009 and 3014?
Answer:
Greatest Common Factor of 3009 and 3014 = 1
Step 1: Find the prime factorization of 3009
3009 = 3 x 17 x 59
Step 2: Find the prime factorization of 3014
3014 = 2 x 11 x 137
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 3009 and 3014 is 1