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 775, 777 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 775 and 777 is 1.
GCF(775,777) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 775
5 | 775 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 775 are 5,31. Prime factorization of 775 in exponential form is:
775 = 52×311
Prime Factorization of 777
3 | 777 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 777 are 3,7,37. Prime factorization of 777 in exponential form is:
777 = 31×71×371
∴ So by taking common prime factors GCF of 775 and 777 is 1
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors and prime factorization of 775 and 777. The biggest common factor number is the GCF number.
So the greatest common factor 775 and 777 is 1.
Also check out the Least Common Multiple of 775 and 777
(i) The GCF of 775 and 777 is associative
GCF of 775 and 777 = GCF of 777 and 775
1. What is the GCF of 775 and 777?
Answer: GCF of 775 and 777 is 1.
2. What are the Factors of 775?
Answer: Factors of 775 are 1, 5, 25, 31, 155, 775. There are 6 integers that are factors of 775. The greatest factor of 775 is 775.
3. What are the Factors of 777?
Answer: Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777. There are 8 integers that are factors of 777. The greatest factor of 777 is 777.
4. How to Find the GCF of 775 and 777?
Answer:
Greatest Common Factor of 775 and 777 = 1
Step 1: Find the prime factorization of 775
775 = 5 x 5 x 31
Step 2: Find the prime factorization of 777
777 = 3 x 7 x 37
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 775 and 777 is 1