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, 8768 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8763 and 8768 is 1.
GCF(8763,8768) = 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 8768
2 | 8768 |
2 | 4384 |
2 | 2192 |
2 | 1096 |
2 | 548 |
2 | 274 |
137 | 137 |
1 |
Prime factors of 8768 are 2,137. Prime factorization of 8768 in exponential form is:
8768 = 26×1371
∴ So by taking common prime factors GCF of 8763 and 8768 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 8768
List of positive integer factors of 8768 that divides 8768 without a remainder.
1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768
Greatest Common Factor
We found the factors and prime factorization of 8763 and 8768. The biggest common factor number is the GCF number.
So the greatest common factor 8763 and 8768 is 1.
Also check out the Least Common Multiple of 8763 and 8768
(i) The GCF of 8763 and 8768 is associative
GCF of 8763 and 8768 = GCF of 8768 and 8763
1. What is the GCF of 8763 and 8768?
Answer: GCF of 8763 and 8768 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 8768?
Answer: Factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768. There are 14 integers that are factors of 8768. The greatest factor of 8768 is 8768.
4. How to Find the GCF of 8763 and 8768?
Answer:
Greatest Common Factor of 8763 and 8768 = 1
Step 1: Find the prime factorization of 8763
8763 = 3 x 23 x 127
Step 2: Find the prime factorization of 8768
8768 = 2 x 2 x 2 x 2 x 2 x 2 x 137
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 8768 is 1