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 1784, 1785 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1784 and 1785 is 1.
GCF(1784,1785) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1784
2 | 1784 |
2 | 892 |
2 | 446 |
223 | 223 |
1 |
Prime factors of 1784 are 2,223. Prime factorization of 1784 in exponential form is:
1784 = 23×2231
Prime Factorization of 1785
3 | 1785 |
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 1785 are 3,5,7,17. Prime factorization of 1785 in exponential form is:
1785 = 31×51×71×171
∴ So by taking common prime factors GCF of 1784 and 1785 is 1
Factors of 1784
List of positive integer factors of 1784 that divides 1784 without a remainder.
1,2,4,8,223,446,892,1784
Factors of 1785
List of positive integer factors of 1785 that divides 1785 without a remainder.
1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Greatest Common Factor
We found the factors and prime factorization of 1784 and 1785. The biggest common factor number is the GCF number.
So the greatest common factor 1784 and 1785 is 1.
Also check out the Least Common Multiple of 1784 and 1785
(i) The GCF of 1784 and 1785 is associative
GCF of 1784 and 1785 = GCF of 1785 and 1784
1. What is the GCF of 1784 and 1785?
Answer: GCF of 1784 and 1785 is 1.
2. What are the Factors of 1784?
Answer: Factors of 1784 are 1, 2, 4, 8, 223, 446, 892, 1784. There are 8 integers that are factors of 1784. The greatest factor of 1784 is 1784.
3. What are the Factors of 1785?
Answer: Factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785. There are 16 integers that are factors of 1785. The greatest factor of 1785 is 1785.
4. How to Find the GCF of 1784 and 1785?
Answer:
Greatest Common Factor of 1784 and 1785 = 1
Step 1: Find the prime factorization of 1784
1784 = 2 x 2 x 2 x 223
Step 2: Find the prime factorization of 1785
1785 = 3 x 5 x 7 x 17
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 1784 and 1785 is 1