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 7685, 7693 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7685 and 7693 is 1.
GCF(7685,7693) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7685
5 | 7685 |
29 | 1537 |
53 | 53 |
1 |
Prime factors of 7685 are 5,29,53. Prime factorization of 7685 in exponential form is:
7685 = 51×291×531
Prime Factorization of 7693
7 | 7693 |
7 | 1099 |
157 | 157 |
1 |
Prime factors of 7693 are 7,157. Prime factorization of 7693 in exponential form is:
7693 = 72×1571
∴ So by taking common prime factors GCF of 7685 and 7693 is 1
Factors of 7685
List of positive integer factors of 7685 that divides 7685 without a remainder.
1,5,29,53,145,265,1537,7685
Factors of 7693
List of positive integer factors of 7693 that divides 7693 without a remainder.
1,7,49,157,1099,7693
Greatest Common Factor
We found the factors and prime factorization of 7685 and 7693. The biggest common factor number is the GCF number.
So the greatest common factor 7685 and 7693 is 1.
Also check out the Least Common Multiple of 7685 and 7693
(i) The GCF of 7685 and 7693 is associative
GCF of 7685 and 7693 = GCF of 7693 and 7685
1. What is the GCF of 7685 and 7693?
Answer: GCF of 7685 and 7693 is 1.
2. What are the Factors of 7685?
Answer: Factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685. There are 8 integers that are factors of 7685. The greatest factor of 7685 is 7685.
3. What are the Factors of 7693?
Answer: Factors of 7693 are 1, 7, 49, 157, 1099, 7693. There are 6 integers that are factors of 7693. The greatest factor of 7693 is 7693.
4. How to Find the GCF of 7685 and 7693?
Answer:
Greatest Common Factor of 7685 and 7693 = 1
Step 1: Find the prime factorization of 7685
7685 = 5 x 29 x 53
Step 2: Find the prime factorization of 7693
7693 = 7 x 7 x 157
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 7685 and 7693 is 1