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 7707, 7715 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7707 and 7715 is 1.
GCF(7707,7715) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7707
3 | 7707 |
7 | 2569 |
367 | 367 |
1 |
Prime factors of 7707 are 3,7,367. Prime factorization of 7707 in exponential form is:
7707 = 31×71×3671
Prime Factorization of 7715
5 | 7715 |
1543 | 1543 |
1 |
Prime factors of 7715 are 5,1543. Prime factorization of 7715 in exponential form is:
7715 = 51×15431
∴ So by taking common prime factors GCF of 7707 and 7715 is 1
Factors of 7707
List of positive integer factors of 7707 that divides 7707 without a remainder.
1,3,7,21,367,1101,2569,7707
Factors of 7715
List of positive integer factors of 7715 that divides 7715 without a remainder.
1,5,1543,7715
Greatest Common Factor
We found the factors and prime factorization of 7707 and 7715. The biggest common factor number is the GCF number.
So the greatest common factor 7707 and 7715 is 1.
Also check out the Least Common Multiple of 7707 and 7715
(i) The GCF of 7707 and 7715 is associative
GCF of 7707 and 7715 = GCF of 7715 and 7707
1. What is the GCF of 7707 and 7715?
Answer: GCF of 7707 and 7715 is 1.
2. What are the Factors of 7707?
Answer: Factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707. There are 8 integers that are factors of 7707. The greatest factor of 7707 is 7707.
3. What are the Factors of 7715?
Answer: Factors of 7715 are 1, 5, 1543, 7715. There are 4 integers that are factors of 7715. The greatest factor of 7715 is 7715.
4. How to Find the GCF of 7707 and 7715?
Answer:
Greatest Common Factor of 7707 and 7715 = 1
Step 1: Find the prime factorization of 7707
7707 = 3 x 7 x 367
Step 2: Find the prime factorization of 7715
7715 = 5 x 1543
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 7707 and 7715 is 1