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 3007, 3009 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3007 and 3009 is 1.
GCF(3007,3009) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3007
31 | 3007 |
97 | 97 |
1 |
Prime factors of 3007 are 31,97. Prime factorization of 3007 in exponential form is:
3007 = 311×971
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
∴ So by taking common prime factors GCF of 3007 and 3009 is 1
Factors of 3007
List of positive integer factors of 3007 that divides 3007 without a remainder.
1,31,97,3007
Factors of 3009
List of positive integer factors of 3009 that divides 3009 without a remainder.
1,3,17,51,59,177,1003,3009
Greatest Common Factor
We found the factors and prime factorization of 3007 and 3009. The biggest common factor number is the GCF number.
So the greatest common factor 3007 and 3009 is 1.
Also check out the Least Common Multiple of 3007 and 3009
(i) The GCF of 3007 and 3009 is associative
GCF of 3007 and 3009 = GCF of 3009 and 3007
1. What is the GCF of 3007 and 3009?
Answer: GCF of 3007 and 3009 is 1.
2. What are the Factors of 3007?
Answer: Factors of 3007 are 1, 31, 97, 3007. There are 4 integers that are factors of 3007. The greatest factor of 3007 is 3007.
3. 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.
4. How to Find the GCF of 3007 and 3009?
Answer:
Greatest Common Factor of 3007 and 3009 = 1
Step 1: Find the prime factorization of 3007
3007 = 31 x 97
Step 2: Find the prime factorization of 3009
3009 = 3 x 17 x 59
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 3007 and 3009 is 1