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 8775, 8777 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8775 and 8777 is 1.
GCF(8775,8777) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8775
3 | 8775 |
3 | 2925 |
3 | 975 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 8775 are 3,5,13. Prime factorization of 8775 in exponential form is:
8775 = 33×52×131
Prime Factorization of 8777
67 | 8777 |
131 | 131 |
1 |
Prime factors of 8777 are 67,131. Prime factorization of 8777 in exponential form is:
8777 = 671×1311
∴ So by taking common prime factors GCF of 8775 and 8777 is 1
Factors of 8775
List of positive integer factors of 8775 that divides 8775 without a remainder.
1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775
Factors of 8777
List of positive integer factors of 8777 that divides 8777 without a remainder.
1,67,131,8777
Greatest Common Factor
We found the factors and prime factorization of 8775 and 8777. The biggest common factor number is the GCF number.
So the greatest common factor 8775 and 8777 is 1.
Also check out the Least Common Multiple of 8775 and 8777
(i) The GCF of 8775 and 8777 is associative
GCF of 8775 and 8777 = GCF of 8777 and 8775
1. What is the GCF of 8775 and 8777?
Answer: GCF of 8775 and 8777 is 1.
2. What are the Factors of 8775?
Answer: Factors of 8775 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775. There are 24 integers that are factors of 8775. The greatest factor of 8775 is 8775.
3. What are the Factors of 8777?
Answer: Factors of 8777 are 1, 67, 131, 8777. There are 4 integers that are factors of 8777. The greatest factor of 8777 is 8777.
4. How to Find the GCF of 8775 and 8777?
Answer:
Greatest Common Factor of 8775 and 8777 = 1
Step 1: Find the prime factorization of 8775
8775 = 3 x 3 x 3 x 5 x 5 x 13
Step 2: Find the prime factorization of 8777
8777 = 67 x 131
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 8775 and 8777 is 1