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 8009, 8014 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8009 and 8014 is 1.
GCF(8009,8014) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8009
8009 | 8009 |
1 |
Prime factors of 8009 are 8009. Prime factorization of 8009 in exponential form is:
8009 = 80091
Prime Factorization of 8014
2 | 8014 |
4007 | 4007 |
1 |
Prime factors of 8014 are 2.Prime factorization of 8014 in exponential form is:
8014 = 21×40071
∴ So by taking common prime factors GCF of 8009 and 8014 is 1
Factors of 8009
List of positive integer factors of 8009 that divides 8009 without a remainder.
1,8009
Factors of 8014
List of positive integer factors of 8014 that divides 8014 without a remainder.
1,2,4007,8014
Greatest Common Factor
We found the factors and prime factorization of 8009 and 8014. The biggest common factor number is the GCF number.
So the greatest common factor 8009 and 8014 is 1.
Also check out the Least Common Multiple of 8009 and 8014
(i) The GCF of 8009 and 8014 is associative
GCF of 8009 and 8014 = GCF of 8014 and 8009
1. What is the GCF of 8009 and 8014?
Answer: GCF of 8009 and 8014 is 1.
2. What are the Factors of 8009?
Answer: Factors of 8009 are 1, 8009. There are 2 integers that are factors of 8009. The greatest factor of 8009 is 8009.
3. What are the Factors of 8014?
Answer: Factors of 8014 are 1, 2, 4007, 8014. There are 4 integers that are factors of 8014. The greatest factor of 8014 is 8014.
4. How to Find the GCF of 8009 and 8014?
Answer:
Greatest Common Factor of 8009 and 8014 = 1
Step 1: Find the prime factorization of 8009
8009 = 8009
Step 2: Find the prime factorization of 8014
8014 = 2 x 4007
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 8009 and 8014 is 1