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 7667, 7675 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7667 and 7675 is 1.
GCF(7667,7675) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7667
11 | 7667 |
17 | 697 |
41 | 41 |
1 |
Prime factors of 7667 are 11,17,41. Prime factorization of 7667 in exponential form is:
7667 = 111×171×411
Prime Factorization of 7675
5 | 7675 |
5 | 1535 |
307 | 307 |
1 |
Prime factors of 7675 are 5,307. Prime factorization of 7675 in exponential form is:
7675 = 52×3071
∴ So by taking common prime factors GCF of 7667 and 7675 is 1
Factors of 7667
List of positive integer factors of 7667 that divides 7667 without a remainder.
1,11,17,41,187,451,697,7667
Factors of 7675
List of positive integer factors of 7675 that divides 7675 without a remainder.
1,5,25,307,1535,7675
Greatest Common Factor
We found the factors and prime factorization of 7667 and 7675. The biggest common factor number is the GCF number.
So the greatest common factor 7667 and 7675 is 1.
Also check out the Least Common Multiple of 7667 and 7675
(i) The GCF of 7667 and 7675 is associative
GCF of 7667 and 7675 = GCF of 7675 and 7667
1. What is the GCF of 7667 and 7675?
Answer: GCF of 7667 and 7675 is 1.
2. What are the Factors of 7667?
Answer: Factors of 7667 are 1, 11, 17, 41, 187, 451, 697, 7667. There are 8 integers that are factors of 7667. The greatest factor of 7667 is 7667.
3. What are the Factors of 7675?
Answer: Factors of 7675 are 1, 5, 25, 307, 1535, 7675. There are 6 integers that are factors of 7675. The greatest factor of 7675 is 7675.
4. How to Find the GCF of 7667 and 7675?
Answer:
Greatest Common Factor of 7667 and 7675 = 1
Step 1: Find the prime factorization of 7667
7667 = 11 x 17 x 41
Step 2: Find the prime factorization of 7675
7675 = 5 x 5 x 307
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 7667 and 7675 is 1