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 8768, 8771 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8768 and 8771 is 1.
GCF(8768,8771) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8771
7 | 8771 |
7 | 1253 |
179 | 179 |
1 |
Prime factors of 8771 are 7,179. Prime factorization of 8771 in exponential form is:
8771 = 72×1791
∴ So by taking common prime factors GCF of 8768 and 8771 is 1
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
Factors of 8771
List of positive integer factors of 8771 that divides 8771 without a remainder.
1,7,49,179,1253,8771
Greatest Common Factor
We found the factors and prime factorization of 8768 and 8771. The biggest common factor number is the GCF number.
So the greatest common factor 8768 and 8771 is 1.
Also check out the Least Common Multiple of 8768 and 8771
(i) The GCF of 8768 and 8771 is associative
GCF of 8768 and 8771 = GCF of 8771 and 8768
1. What is the GCF of 8768 and 8771?
Answer: GCF of 8768 and 8771 is 1.
2. 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.
3. What are the Factors of 8771?
Answer: Factors of 8771 are 1, 7, 49, 179, 1253, 8771. There are 6 integers that are factors of 8771. The greatest factor of 8771 is 8771.
4. How to Find the GCF of 8768 and 8771?
Answer:
Greatest Common Factor of 8768 and 8771 = 1
Step 1: Find the prime factorization of 8768
8768 = 2 x 2 x 2 x 2 x 2 x 2 x 137
Step 2: Find the prime factorization of 8771
8771 = 7 x 7 x 179
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 8768 and 8771 is 1