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 3773, 3775 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3773 and 3775 is 1.
GCF(3773,3775) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3773
7 | 3773 |
7 | 539 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 3773 are 7,11. Prime factorization of 3773 in exponential form is:
3773 = 73×111
Prime Factorization of 3775
5 | 3775 |
5 | 755 |
151 | 151 |
1 |
Prime factors of 3775 are 5,151. Prime factorization of 3775 in exponential form is:
3775 = 52×1511
∴ So by taking common prime factors GCF of 3773 and 3775 is 1
Factors of 3773
List of positive integer factors of 3773 that divides 3773 without a remainder.
1,7,11,49,77,343,539,3773
Factors of 3775
List of positive integer factors of 3775 that divides 3775 without a remainder.
1,5,25,151,755,3775
Greatest Common Factor
We found the factors and prime factorization of 3773 and 3775. The biggest common factor number is the GCF number.
So the greatest common factor 3773 and 3775 is 1.
Also check out the Least Common Multiple of 3773 and 3775
(i) The GCF of 3773 and 3775 is associative
GCF of 3773 and 3775 = GCF of 3775 and 3773
1. What is the GCF of 3773 and 3775?
Answer: GCF of 3773 and 3775 is 1.
2. What are the Factors of 3773?
Answer: Factors of 3773 are 1, 7, 11, 49, 77, 343, 539, 3773. There are 8 integers that are factors of 3773. The greatest factor of 3773 is 3773.
3. What are the Factors of 3775?
Answer: Factors of 3775 are 1, 5, 25, 151, 755, 3775. There are 6 integers that are factors of 3775. The greatest factor of 3775 is 3775.
4. How to Find the GCF of 3773 and 3775?
Answer:
Greatest Common Factor of 3773 and 3775 = 1
Step 1: Find the prime factorization of 3773
3773 = 7 x 7 x 7 x 11
Step 2: Find the prime factorization of 3775
3775 = 5 x 5 x 151
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 3773 and 3775 is 1