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 7109, 7117 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7109 and 7117 is 1.
GCF(7109,7117) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7109
7109 | 7109 |
1 |
Prime factors of 7109 are 7109. Prime factorization of 7109 in exponential form is:
7109 = 71091
Prime Factorization of 7117
11 | 7117 |
647 | 647 |
1 |
Prime factors of 7117 are 11.Prime factorization of 7117 in exponential form is:
7117 = 111×6471
∴ So by taking common prime factors GCF of 7109 and 7117 is 1
Factors of 7109
List of positive integer factors of 7109 that divides 7109 without a remainder.
1,7109
Factors of 7117
List of positive integer factors of 7117 that divides 7117 without a remainder.
1,11,647,7117
Greatest Common Factor
We found the factors and prime factorization of 7109 and 7117. The biggest common factor number is the GCF number.
So the greatest common factor 7109 and 7117 is 1.
Also check out the Least Common Multiple of 7109 and 7117
(i) The GCF of 7109 and 7117 is associative
GCF of 7109 and 7117 = GCF of 7117 and 7109
1. What is the GCF of 7109 and 7117?
Answer: GCF of 7109 and 7117 is 1.
2. What are the Factors of 7109?
Answer: Factors of 7109 are 1, 7109. There are 2 integers that are factors of 7109. The greatest factor of 7109 is 7109.
3. What are the Factors of 7117?
Answer: Factors of 7117 are 1, 11, 647, 7117. There are 4 integers that are factors of 7117. The greatest factor of 7117 is 7117.
4. How to Find the GCF of 7109 and 7117?
Answer:
Greatest Common Factor of 7109 and 7117 = 1
Step 1: Find the prime factorization of 7109
7109 = 7109
Step 2: Find the prime factorization of 7117
7117 = 11 x 647
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 7109 and 7117 is 1