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 1786, 1788 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1786 and 1788 is 2.
GCF(1786,1788) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1788
2 | 1788 |
2 | 894 |
3 | 447 |
149 | 149 |
1 |
Prime factors of 1788 are 2,3,149. Prime factorization of 1788 in exponential form is:
1788 = 22×31×1491
∴ So by taking common prime factors GCF of 1786 and 1788 is 2
Factors of 1786
List of positive integer factors of 1786 that divides 1786 without a remainder.
1,2,19,38,47,94,893,1786
Factors of 1788
List of positive integer factors of 1788 that divides 1788 without a remainder.
1,2,3,4,6,12,149,298,447,596,894,1788
Greatest Common Factor
We found the factors and prime factorization of 1786 and 1788. The biggest common factor number is the GCF number.
So the greatest common factor 1786 and 1788 is 2.
Also check out the Least Common Multiple of 1786 and 1788
(i) The GCF of 1786 and 1788 is associative
GCF of 1786 and 1788 = GCF of 1788 and 1786
1. What is the GCF of 1786 and 1788?
Answer: GCF of 1786 and 1788 is 2.
2. 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.
3. What are the Factors of 1788?
Answer: Factors of 1788 are 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788. There are 12 integers that are factors of 1788. The greatest factor of 1788 is 1788.
4. How to Find the GCF of 1786 and 1788?
Answer:
Greatest Common Factor of 1786 and 1788 = 2
Step 1: Find the prime factorization of 1786
1786 = 2 x 19 x 47
Step 2: Find the prime factorization of 1788
1788 = 2 x 2 x 3 x 149
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 1786 and 1788 is 2