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 8771, 8773 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8771 and 8773 is 1.
GCF(8771,8773) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8773
31 | 8773 |
283 | 283 |
1 |
Prime factors of 8773 are 31,283. Prime factorization of 8773 in exponential form is:
8773 = 311×2831
∴ So by taking common prime factors GCF of 8771 and 8773 is 1
Factors of 8771
List of positive integer factors of 8771 that divides 8771 without a remainder.
1,7,49,179,1253,8771
Factors of 8773
List of positive integer factors of 8773 that divides 8773 without a remainder.
1,31,283,8773
Greatest Common Factor
We found the factors and prime factorization of 8771 and 8773. The biggest common factor number is the GCF number.
So the greatest common factor 8771 and 8773 is 1.
Also check out the Least Common Multiple of 8771 and 8773
(i) The GCF of 8771 and 8773 is associative
GCF of 8771 and 8773 = GCF of 8773 and 8771
1. What is the GCF of 8771 and 8773?
Answer: GCF of 8771 and 8773 is 1.
2. 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.
3. What are the Factors of 8773?
Answer: Factors of 8773 are 1, 31, 283, 8773. There are 4 integers that are factors of 8773. The greatest factor of 8773 is 8773.
4. How to Find the GCF of 8771 and 8773?
Answer:
Greatest Common Factor of 8771 and 8773 = 1
Step 1: Find the prime factorization of 8771
8771 = 7 x 7 x 179
Step 2: Find the prime factorization of 8773
8773 = 31 x 283
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 8771 and 8773 is 1