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, 1767 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1766 and 1767 is 1.
GCF(1766,1767) = 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 1767
3 | 1767 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 1767 are 3,19,31. Prime factorization of 1767 in exponential form is:
1767 = 31×191×311
∴ So by taking common prime factors GCF of 1766 and 1767 is 1
Factors of 1766
List of positive integer factors of 1766 that divides 1766 without a remainder.
1,2,883,1766
Factors of 1767
List of positive integer factors of 1767 that divides 1767 without a remainder.
1,3,19,31,57,93,589,1767
Greatest Common Factor
We found the factors and prime factorization of 1766 and 1767. The biggest common factor number is the GCF number.
So the greatest common factor 1766 and 1767 is 1.
Also check out the Least Common Multiple of 1766 and 1767
(i) The GCF of 1766 and 1767 is associative
GCF of 1766 and 1767 = GCF of 1767 and 1766
1. What is the GCF of 1766 and 1767?
Answer: GCF of 1766 and 1767 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 1767?
Answer: Factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767. There are 8 integers that are factors of 1767. The greatest factor of 1767 is 1767.
4. How to Find the GCF of 1766 and 1767?
Answer:
Greatest Common Factor of 1766 and 1767 = 1
Step 1: Find the prime factorization of 1766
1766 = 2 x 883
Step 2: Find the prime factorization of 1767
1767 = 3 x 19 x 31
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 1767 is 1