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 1773, 1777 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1773 and 1777 is 1.
GCF(1773,1777) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1773
3 | 1773 |
3 | 591 |
197 | 197 |
1 |
Prime factors of 1773 are 3,197. Prime factorization of 1773 in exponential form is:
1773 = 32×1971
Prime Factorization of 1777
1777 | 1777 |
1 |
Prime factors of 1777 are 1777. Prime factorization of 1777 in exponential form is:
1777 = 17771
∴ So by taking common prime factors GCF of 1773 and 1777 is 1
Factors of 1773
List of positive integer factors of 1773 that divides 1773 without a remainder.
1,3,9,197,591,1773
Factors of 1777
List of positive integer factors of 1777 that divides 1777 without a remainder.
1,1777
Greatest Common Factor
We found the factors and prime factorization of 1773 and 1777. The biggest common factor number is the GCF number.
So the greatest common factor 1773 and 1777 is 1.
Also check out the Least Common Multiple of 1773 and 1777
(i) The GCF of 1773 and 1777 is associative
GCF of 1773 and 1777 = GCF of 1777 and 1773
1. What is the GCF of 1773 and 1777?
Answer: GCF of 1773 and 1777 is 1.
2. What are the Factors of 1773?
Answer: Factors of 1773 are 1, 3, 9, 197, 591, 1773. There are 6 integers that are factors of 1773. The greatest factor of 1773 is 1773.
3. What are the Factors of 1777?
Answer: Factors of 1777 are 1, 1777. There are 2 integers that are factors of 1777. The greatest factor of 1777 is 1777.
4. How to Find the GCF of 1773 and 1777?
Answer:
Greatest Common Factor of 1773 and 1777 = 1
Step 1: Find the prime factorization of 1773
1773 = 3 x 3 x 197
Step 2: Find the prime factorization of 1777
1777 = 1777
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 1773 and 1777 is 1