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 7107, 7113 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7107 and 7113 is 3.
GCF(7107,7113) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7107
3 | 7107 |
23 | 2369 |
103 | 103 |
1 |
Prime factors of 7107 are 3,23,103. Prime factorization of 7107 in exponential form is:
7107 = 31×231×1031
Prime Factorization of 7113
3 | 7113 |
2371 | 2371 |
1 |
Prime factors of 7113 are 3,2371. Prime factorization of 7113 in exponential form is:
7113 = 31×23711
∴ So by taking common prime factors GCF of 7107 and 7113 is 3
Factors of 7107
List of positive integer factors of 7107 that divides 7107 without a remainder.
1,3,23,69,103,309,2369,7107
Factors of 7113
List of positive integer factors of 7113 that divides 7113 without a remainder.
1,3,2371,7113
Greatest Common Factor
We found the factors and prime factorization of 7107 and 7113. The biggest common factor number is the GCF number.
So the greatest common factor 7107 and 7113 is 3.
Also check out the Least Common Multiple of 7107 and 7113
(i) The GCF of 7107 and 7113 is associative
GCF of 7107 and 7113 = GCF of 7113 and 7107
1. What is the GCF of 7107 and 7113?
Answer: GCF of 7107 and 7113 is 3.
2. What are the Factors of 7107?
Answer: Factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107. There are 8 integers that are factors of 7107. The greatest factor of 7107 is 7107.
3. What are the Factors of 7113?
Answer: Factors of 7113 are 1, 3, 2371, 7113. There are 4 integers that are factors of 7113. The greatest factor of 7113 is 7113.
4. How to Find the GCF of 7107 and 7113?
Answer:
Greatest Common Factor of 7107 and 7113 = 3
Step 1: Find the prime factorization of 7107
7107 = 3 x 23 x 103
Step 2: Find the prime factorization of 7113
7113 = 3 x 2371
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7107 and 7113 is 3