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 1787, 1793 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1787 and 1793 is 1.
GCF(1787,1793) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1787
1787 | 1787 |
1 |
Prime factors of 1787 are 1787. Prime factorization of 1787 in exponential form is:
1787 = 17871
Prime Factorization of 1793
11 | 1793 |
163 | 163 |
1 |
Prime factors of 1793 are 11.Prime factorization of 1793 in exponential form is:
1793 = 111×1631
∴ So by taking common prime factors GCF of 1787 and 1793 is 1
Factors of 1787
List of positive integer factors of 1787 that divides 1787 without a remainder.
1,1787
Factors of 1793
List of positive integer factors of 1793 that divides 1793 without a remainder.
1,11,163,1793
Greatest Common Factor
We found the factors and prime factorization of 1787 and 1793. The biggest common factor number is the GCF number.
So the greatest common factor 1787 and 1793 is 1.
Also check out the Least Common Multiple of 1787 and 1793
(i) The GCF of 1787 and 1793 is associative
GCF of 1787 and 1793 = GCF of 1793 and 1787
1. What is the GCF of 1787 and 1793?
Answer: GCF of 1787 and 1793 is 1.
2. What are the Factors of 1787?
Answer: Factors of 1787 are 1, 1787. There are 2 integers that are factors of 1787. The greatest factor of 1787 is 1787.
3. What are the Factors of 1793?
Answer: Factors of 1793 are 1, 11, 163, 1793. There are 4 integers that are factors of 1793. The greatest factor of 1793 is 1793.
4. How to Find the GCF of 1787 and 1793?
Answer:
Greatest Common Factor of 1787 and 1793 = 1
Step 1: Find the prime factorization of 1787
1787 = 1787
Step 2: Find the prime factorization of 1793
1793 = 11 x 163
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 1787 and 1793 is 1