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 3774, 3781 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3774 and 3781 is 1.
GCF(3774,3781) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3774
2 | 3774 |
3 | 1887 |
17 | 629 |
37 | 37 |
1 |
Prime factors of 3774 are 2,3,17,37. Prime factorization of 3774 in exponential form is:
3774 = 21×31×171×371
Prime Factorization of 3781
19 | 3781 |
199 | 199 |
1 |
Prime factors of 3781 are 19,199. Prime factorization of 3781 in exponential form is:
3781 = 191×1991
∴ So by taking common prime factors GCF of 3774 and 3781 is 1
Factors of 3774
List of positive integer factors of 3774 that divides 3774 without a remainder.
1,2,3,6,17,34,37,51,74,102,111,222,629,1258,1887,3774
Factors of 3781
List of positive integer factors of 3781 that divides 3781 without a remainder.
1,19,199,3781
Greatest Common Factor
We found the factors and prime factorization of 3774 and 3781. The biggest common factor number is the GCF number.
So the greatest common factor 3774 and 3781 is 1.
Also check out the Least Common Multiple of 3774 and 3781
(i) The GCF of 3774 and 3781 is associative
GCF of 3774 and 3781 = GCF of 3781 and 3774
1. What is the GCF of 3774 and 3781?
Answer: GCF of 3774 and 3781 is 1.
2. What are the Factors of 3774?
Answer: Factors of 3774 are 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774. There are 16 integers that are factors of 3774. The greatest factor of 3774 is 3774.
3. What are the Factors of 3781?
Answer: Factors of 3781 are 1, 19, 199, 3781. There are 4 integers that are factors of 3781. The greatest factor of 3781 is 3781.
4. How to Find the GCF of 3774 and 3781?
Answer:
Greatest Common Factor of 3774 and 3781 = 1
Step 1: Find the prime factorization of 3774
3774 = 2 x 3 x 17 x 37
Step 2: Find the prime factorization of 3781
3781 = 19 x 199
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 3774 and 3781 is 1