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, 1786 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1784 and 1786 is 2.
GCF(1784,1786) = 2
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 1786
2 | 1786 |
19 | 893 |
47 | 47 |
1 |
Prime factors of 1786 are 2,19,47. Prime factorization of 1786 in exponential form is:
1786 = 21×191×471
∴ So by taking common prime factors GCF of 1784 and 1786 is 2
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 1786
List of positive integer factors of 1786 that divides 1786 without a remainder.
1,2,19,38,47,94,893,1786
Greatest Common Factor
We found the factors and prime factorization of 1784 and 1786. The biggest common factor number is the GCF number.
So the greatest common factor 1784 and 1786 is 2.
Also check out the Least Common Multiple of 1784 and 1786
(i) The GCF of 1784 and 1786 is associative
GCF of 1784 and 1786 = GCF of 1786 and 1784
1. What is the GCF of 1784 and 1786?
Answer: GCF of 1784 and 1786 is 2.
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 1786?
Answer: Factors of 1786 are 1, 2, 19, 38, 47, 94, 893, 1786. There are 8 integers that are factors of 1786. The greatest factor of 1786 is 1786.
4. How to Find the GCF of 1784 and 1786?
Answer:
Greatest Common Factor of 1784 and 1786 = 2
Step 1: Find the prime factorization of 1784
1784 = 2 x 2 x 2 x 223
Step 2: Find the prime factorization of 1786
1786 = 2 x 19 x 47
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1784 and 1786 is 2