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 67007, 67013 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 67007 and 67013 is 1.
GCF(67007,67013) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 67007
37 | 67007 |
1811 | 1811 |
1 |
Prime factors of 67007 are 37,1811. Prime factorization of 67007 in exponential form is:
67007 = 371×18111
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 67007 and 67013 is 1
Factors of 67007
List of positive integer factors of 67007 that divides 67007 without a remainder.
1,37,1811,67007
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 67007 and 67013. The biggest common factor number is the GCF number.
So the greatest common factor 67007 and 67013 is 1.
Also check out the Least Common Multiple of 67007 and 67013
(i) The GCF of 67007 and 67013 is associative
GCF of 67007 and 67013 = GCF of 67013 and 67007
1. What is the GCF of 67007 and 67013?
Answer: GCF of 67007 and 67013 is 1.
2. What are the Factors of 67007?
Answer: Factors of 67007 are 1, 37, 1811, 67007. There are 4 integers that are factors of 67007. The greatest factor of 67007 is 67007.
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 67007 and 67013?
Answer:
Greatest Common Factor of 67007 and 67013 = 1
Step 1: Find the prime factorization of 67007
67007 = 37 x 1811
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 67007 and 67013 is 1