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 27001, 27007 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 27001 and 27007 is 1.
GCF(27001,27007) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 27001
13 | 27001 |
31 | 2077 |
67 | 67 |
1 |
Prime factors of 27001 are 13,31,67. Prime factorization of 27001 in exponential form is:
27001 = 131×311×671
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
∴ So by taking common prime factors GCF of 27001 and 27007 is 1
Factors of 27001
List of positive integer factors of 27001 that divides 27001 without a remainder.
1,13,31,67,403,871,2077,27001
Factors of 27007
List of positive integer factors of 27007 that divides 27007 without a remainder.
1,113,239,27007
Greatest Common Factor
We found the factors and prime factorization of 27001 and 27007. The biggest common factor number is the GCF number.
So the greatest common factor 27001 and 27007 is 1.
Also check out the Least Common Multiple of 27001 and 27007
(i) The GCF of 27001 and 27007 is associative
GCF of 27001 and 27007 = GCF of 27007 and 27001
1. What is the GCF of 27001 and 27007?
Answer: GCF of 27001 and 27007 is 1.
2. What are the Factors of 27001?
Answer: Factors of 27001 are 1, 13, 31, 67, 403, 871, 2077, 27001. There are 8 integers that are factors of 27001. The greatest factor of 27001 is 27001.
3. 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.
4. How to Find the GCF of 27001 and 27007?
Answer:
Greatest Common Factor of 27001 and 27007 = 1
Step 1: Find the prime factorization of 27001
27001 = 13 x 31 x 67
Step 2: Find the prime factorization of 27007
27007 = 113 x 239
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 27001 and 27007 is 1