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 67009, 67013 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 67009 and 67013 is 1.
GCF(67009,67013) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 67009
113 | 67009 |
593 | 593 |
1 |
Prime factors of 67009 are 113,593. Prime factorization of 67009 in exponential form is:
67009 = 1131×5931
Prime Factorization of 67013
19 | 67013 |
3527 | 3527 |
1 |
Prime factors of 67013 are 19,3527. Prime factorization of 67013 in exponential form is:
67013 = 191×35271
∴ So by taking common prime factors GCF of 67009 and 67013 is 1
Factors of 67009
List of positive integer factors of 67009 that divides 67009 without a remainder.
1,113,593,67009
Factors of 67013
List of positive integer factors of 67013 that divides 67013 without a remainder.
1,19,3527,67013
Greatest Common Factor
We found the factors and prime factorization of 67009 and 67013. The biggest common factor number is the GCF number.
So the greatest common factor 67009 and 67013 is 1.
Also check out the Least Common Multiple of 67009 and 67013
(i) The GCF of 67009 and 67013 is associative
GCF of 67009 and 67013 = GCF of 67013 and 67009
1. What is the GCF of 67009 and 67013?
Answer: GCF of 67009 and 67013 is 1.
2. What are the Factors of 67009?
Answer: Factors of 67009 are 1, 113, 593, 67009. There are 4 integers that are factors of 67009. The greatest factor of 67009 is 67009.
3. What are the Factors of 67013?
Answer: Factors of 67013 are 1, 19, 3527, 67013. There are 4 integers that are factors of 67013. The greatest factor of 67013 is 67013.
4. How to Find the GCF of 67009 and 67013?
Answer:
Greatest Common Factor of 67009 and 67013 = 1
Step 1: Find the prime factorization of 67009
67009 = 113 x 593
Step 2: Find the prime factorization of 67013
67013 = 19 x 3527
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 67009 and 67013 is 1