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 7047, 7055 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7047 and 7055 is 1.
GCF(7047,7055) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7047
3 | 7047 |
3 | 2349 |
3 | 783 |
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 7047 are 3,29. Prime factorization of 7047 in exponential form is:
7047 = 35×291
Prime Factorization of 7055
5 | 7055 |
17 | 1411 |
83 | 83 |
1 |
Prime factors of 7055 are 5,17,83. Prime factorization of 7055 in exponential form is:
7055 = 51×171×831
∴ So by taking common prime factors GCF of 7047 and 7055 is 1
Factors of 7047
List of positive integer factors of 7047 that divides 7047 without a remainder.
1,3,9,27,29,81,87,243,261,783,2349,7047
Factors of 7055
List of positive integer factors of 7055 that divides 7055 without a remainder.
1,5,17,83,85,415,1411,7055
Greatest Common Factor
We found the factors and prime factorization of 7047 and 7055. The biggest common factor number is the GCF number.
So the greatest common factor 7047 and 7055 is 1.
Also check out the Least Common Multiple of 7047 and 7055
(i) The GCF of 7047 and 7055 is associative
GCF of 7047 and 7055 = GCF of 7055 and 7047
1. What is the GCF of 7047 and 7055?
Answer: GCF of 7047 and 7055 is 1.
2. What are the Factors of 7047?
Answer: Factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047. There are 12 integers that are factors of 7047. The greatest factor of 7047 is 7047.
3. What are the Factors of 7055?
Answer: Factors of 7055 are 1, 5, 17, 83, 85, 415, 1411, 7055. There are 8 integers that are factors of 7055. The greatest factor of 7055 is 7055.
4. How to Find the GCF of 7047 and 7055?
Answer:
Greatest Common Factor of 7047 and 7055 = 1
Step 1: Find the prime factorization of 7047
7047 = 3 x 3 x 3 x 3 x 3 x 29
Step 2: Find the prime factorization of 7055
7055 = 5 x 17 x 83
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 7047 and 7055 is 1