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 3783, 3784 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3783 and 3784 is 1.
GCF(3783,3784) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3783
3 | 3783 |
13 | 1261 |
97 | 97 |
1 |
Prime factors of 3783 are 3,13,97. Prime factorization of 3783 in exponential form is:
3783 = 31×131×971
Prime Factorization of 3784
2 | 3784 |
2 | 1892 |
2 | 946 |
11 | 473 |
43 | 43 |
1 |
Prime factors of 3784 are 2,11,43. Prime factorization of 3784 in exponential form is:
3784 = 23×111×431
∴ So by taking common prime factors GCF of 3783 and 3784 is 1
Factors of 3783
List of positive integer factors of 3783 that divides 3783 without a remainder.
1,3,13,39,97,291,1261,3783
Factors of 3784
List of positive integer factors of 3784 that divides 3784 without a remainder.
1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784
Greatest Common Factor
We found the factors and prime factorization of 3783 and 3784. The biggest common factor number is the GCF number.
So the greatest common factor 3783 and 3784 is 1.
Also check out the Least Common Multiple of 3783 and 3784
(i) The GCF of 3783 and 3784 is associative
GCF of 3783 and 3784 = GCF of 3784 and 3783
1. What is the GCF of 3783 and 3784?
Answer: GCF of 3783 and 3784 is 1.
2. What are the Factors of 3783?
Answer: Factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783. There are 8 integers that are factors of 3783. The greatest factor of 3783 is 3783.
3. What are the Factors of 3784?
Answer: Factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784. There are 16 integers that are factors of 3784. The greatest factor of 3784 is 3784.
4. How to Find the GCF of 3783 and 3784?
Answer:
Greatest Common Factor of 3783 and 3784 = 1
Step 1: Find the prime factorization of 3783
3783 = 3 x 13 x 97
Step 2: Find the prime factorization of 3784
3784 = 2 x 2 x 2 x 11 x 43
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 3783 and 3784 is 1