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 27014, 27021 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 27014 and 27021 is 1.
GCF(27014,27021) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 27014
2 | 27014 |
13 | 13507 |
1039 | 1039 |
1 |
Prime factors of 27014 are 2,13,1039. Prime factorization of 27014 in exponential form is:
27014 = 21×131×10391
Prime Factorization of 27021
3 | 27021 |
9007 | 9007 |
1 |
Prime factors of 27021 are 3,9007. Prime factorization of 27021 in exponential form is:
27021 = 31×90071
∴ So by taking common prime factors GCF of 27014 and 27021 is 1
Factors of 27014
List of positive integer factors of 27014 that divides 27014 without a remainder.
1,2,13,26,1039,2078,13507,27014
Factors of 27021
List of positive integer factors of 27021 that divides 27021 without a remainder.
1,3,9007,27021
Greatest Common Factor
We found the factors and prime factorization of 27014 and 27021. The biggest common factor number is the GCF number.
So the greatest common factor 27014 and 27021 is 1.
Also check out the Least Common Multiple of 27014 and 27021
(i) The GCF of 27014 and 27021 is associative
GCF of 27014 and 27021 = GCF of 27021 and 27014
1. What is the GCF of 27014 and 27021?
Answer: GCF of 27014 and 27021 is 1.
2. What are the Factors of 27014?
Answer: Factors of 27014 are 1, 2, 13, 26, 1039, 2078, 13507, 27014. There are 8 integers that are factors of 27014. The greatest factor of 27014 is 27014.
3. What are the Factors of 27021?
Answer: Factors of 27021 are 1, 3, 9007, 27021. There are 4 integers that are factors of 27021. The greatest factor of 27021 is 27021.
4. How to Find the GCF of 27014 and 27021?
Answer:
Greatest Common Factor of 27014 and 27021 = 1
Step 1: Find the prime factorization of 27014
27014 = 2 x 13 x 1039
Step 2: Find the prime factorization of 27021
27021 = 3 x 9007
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 27014 and 27021 is 1