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 3784, 3789 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3784 and 3789 is 1.
GCF(3784,3789) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3789
3 | 3789 |
3 | 1263 |
421 | 421 |
1 |
Prime factors of 3789 are 3,421. Prime factorization of 3789 in exponential form is:
3789 = 32×4211
∴ So by taking common prime factors GCF of 3784 and 3789 is 1
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
Factors of 3789
List of positive integer factors of 3789 that divides 3789 without a remainder.
1,3,9,421,1263,3789
Greatest Common Factor
We found the factors and prime factorization of 3784 and 3789. The biggest common factor number is the GCF number.
So the greatest common factor 3784 and 3789 is 1.
Also check out the Least Common Multiple of 3784 and 3789
(i) The GCF of 3784 and 3789 is associative
GCF of 3784 and 3789 = GCF of 3789 and 3784
1. What is the GCF of 3784 and 3789?
Answer: GCF of 3784 and 3789 is 1.
2. 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.
3. What are the Factors of 3789?
Answer: Factors of 3789 are 1, 3, 9, 421, 1263, 3789. There are 6 integers that are factors of 3789. The greatest factor of 3789 is 3789.
4. How to Find the GCF of 3784 and 3789?
Answer:
Greatest Common Factor of 3784 and 3789 = 1
Step 1: Find the prime factorization of 3784
3784 = 2 x 2 x 2 x 11 x 43
Step 2: Find the prime factorization of 3789
3789 = 3 x 3 x 421
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 3784 and 3789 is 1