Greatest Common Factor of 27007 and 27013
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 27007, 27013 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 27007 and 27013 is 1.
GCF(27007,27013) = 1
GCF of 27007 and 27013
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 27007 and 27013 by prime factorization method
- Greatest Common Factor of 27007 and 27013 by matching factors method
GCF of 27007 and 27013 is 1
Prime Factorization of 27007
| 113 | 27007 |
| 239 | 239 |
| 1 |
Prime factors of 27007 are 113,239. Prime factorization of 27007 in exponential form is:
27007 = 1131×2391
Prime Factorization of 27013
| 7 | 27013 |
| 17 | 3859 |
| 227 | 227 |
| 1 |
Prime factors of 27013 are 7,17,227. Prime factorization of 27013 in exponential form is:
27013 = 71×171×2271
∴ So by taking common prime factors GCF of 27007 and 27013 is 1
Greatest Common Factor of 27007 and 27013 by matching factors method
Factors of 27007
List of positive integer factors of 27007 that divides 27007 without a remainder.
1,113,239,27007
Factors of 27013
List of positive integer factors of 27013 that divides 27013 without a remainder.
1,7,17,119,227,1589,3859,27013
Greatest Common Factor
We found the factors and prime factorization of 27007 and 27013. The biggest common factor number is the GCF number.
So the greatest common factor 27007 and 27013 is 1.
Also check out the Least Common Multiple of 27007 and 27013
Properties of GCF 27007 and 27013
(i) The GCF of 27007 and 27013 is associative
GCF of 27007 and 27013 = GCF of 27013 and 27007
Related Greatest Common Factor of 27007
Related Greatest Common Factor of 27013
Frequently Asked Questions on GCF of 27007 and 27013
1. What is the GCF of 27007 and 27013?
Answer: GCF of 27007 and 27013 is 1.
2. What are the Factors of 27007?
Answer: Factors of 27007 are 1, 113, 239, 27007. There are 4 integers that are factors of 27007. The greatest factor of 27007 is 27007.
3. What are the Factors of 27013?
Answer: Factors of 27013 are 1, 7, 17, 119, 227, 1589, 3859, 27013. There are 8 integers that are factors of 27013. The greatest factor of 27013 is 27013.
4. How to Find the GCF of 27007 and 27013?
Answer:
Greatest Common Factor of 27007 and 27013 = 1
Step 1: Find the prime factorization of 27007
27007 = 113 x 239
Step 2: Find the prime factorization of 27013
27013 = 7 x 17 x 227
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 27007 and 27013 is 1