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 8763, 8765 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8763 and 8765 is 1.
GCF(8763,8765) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8763
3 | 8763 |
23 | 2921 |
127 | 127 |
1 |
Prime factors of 8763 are 3,23,127. Prime factorization of 8763 in exponential form is:
8763 = 31×231×1271
Prime Factorization of 8765
5 | 8765 |
1753 | 1753 |
1 |
Prime factors of 8765 are 5,1753. Prime factorization of 8765 in exponential form is:
8765 = 51×17531
∴ So by taking common prime factors GCF of 8763 and 8765 is 1
Factors of 8763
List of positive integer factors of 8763 that divides 8763 without a remainder.
1,3,23,69,127,381,2921,8763
Factors of 8765
List of positive integer factors of 8765 that divides 8765 without a remainder.
1,5,1753,8765
Greatest Common Factor
We found the factors and prime factorization of 8763 and 8765. The biggest common factor number is the GCF number.
So the greatest common factor 8763 and 8765 is 1.
Also check out the Least Common Multiple of 8763 and 8765
(i) The GCF of 8763 and 8765 is associative
GCF of 8763 and 8765 = GCF of 8765 and 8763
1. What is the GCF of 8763 and 8765?
Answer: GCF of 8763 and 8765 is 1.
2. What are the Factors of 8763?
Answer: Factors of 8763 are 1, 3, 23, 69, 127, 381, 2921, 8763. There are 8 integers that are factors of 8763. The greatest factor of 8763 is 8763.
3. What are the Factors of 8765?
Answer: Factors of 8765 are 1, 5, 1753, 8765. There are 4 integers that are factors of 8765. The greatest factor of 8765 is 8765.
4. How to Find the GCF of 8763 and 8765?
Answer:
Greatest Common Factor of 8763 and 8765 = 1
Step 1: Find the prime factorization of 8763
8763 = 3 x 23 x 127
Step 2: Find the prime factorization of 8765
8765 = 5 x 1753
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 8763 and 8765 is 1