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 1766, 1771 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1766 and 1771 is 1.
GCF(1766,1771) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1766
2 | 1766 |
883 | 883 |
1 |
Prime factors of 1766 are 2,883. Prime factorization of 1766 in exponential form is:
1766 = 21×8831
Prime Factorization of 1771
7 | 1771 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 1771 are 7,11,23. Prime factorization of 1771 in exponential form is:
1771 = 71×111×231
∴ So by taking common prime factors GCF of 1766 and 1771 is 1
Factors of 1766
List of positive integer factors of 1766 that divides 1766 without a remainder.
1,2,883,1766
Factors of 1771
List of positive integer factors of 1771 that divides 1771 without a remainder.
1,7,11,23,77,161,253,1771
Greatest Common Factor
We found the factors and prime factorization of 1766 and 1771. The biggest common factor number is the GCF number.
So the greatest common factor 1766 and 1771 is 1.
Also check out the Least Common Multiple of 1766 and 1771
(i) The GCF of 1766 and 1771 is associative
GCF of 1766 and 1771 = GCF of 1771 and 1766
1. What is the GCF of 1766 and 1771?
Answer: GCF of 1766 and 1771 is 1.
2. What are the Factors of 1766?
Answer: Factors of 1766 are 1, 2, 883, 1766. There are 4 integers that are factors of 1766. The greatest factor of 1766 is 1766.
3. What are the Factors of 1771?
Answer: Factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771. There are 8 integers that are factors of 1771. The greatest factor of 1771 is 1771.
4. How to Find the GCF of 1766 and 1771?
Answer:
Greatest Common Factor of 1766 and 1771 = 1
Step 1: Find the prime factorization of 1766
1766 = 2 x 883
Step 2: Find the prime factorization of 1771
1771 = 7 x 11 x 23
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 1766 and 1771 is 1