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 7675, 7681 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7675 and 7681 is 1.
GCF(7675,7681) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7681
7681 | 7681 |
1 |
Prime factors of 7681 are 7681. Prime factorization of 7681 in exponential form is:
7681 = 76811
∴ So by taking common prime factors GCF of 7675 and 7681 is 1
Factors of 7675
List of positive integer factors of 7675 that divides 7675 without a remainder.
1,5,25,307,1535,7675
Factors of 7681
List of positive integer factors of 7681 that divides 7681 without a remainder.
1,7681
Greatest Common Factor
We found the factors and prime factorization of 7675 and 7681. The biggest common factor number is the GCF number.
So the greatest common factor 7675 and 7681 is 1.
Also check out the Least Common Multiple of 7675 and 7681
(i) The GCF of 7675 and 7681 is associative
GCF of 7675 and 7681 = GCF of 7681 and 7675
1. What is the GCF of 7675 and 7681?
Answer: GCF of 7675 and 7681 is 1.
2. 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.
3. What are the Factors of 7681?
Answer: Factors of 7681 are 1, 7681. There are 2 integers that are factors of 7681. The greatest factor of 7681 is 7681.
4. How to Find the GCF of 7675 and 7681?
Answer:
Greatest Common Factor of 7675 and 7681 = 1
Step 1: Find the prime factorization of 7675
7675 = 5 x 5 x 307
Step 2: Find the prime factorization of 7681
7681 = 7681
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 7675 and 7681 is 1