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 3565, 3566 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3565 and 3566 is 1.
GCF(3565,3566) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3565
5 | 3565 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 3565 are 5,23,31. Prime factorization of 3565 in exponential form is:
3565 = 51×231×311
Prime Factorization of 3566
2 | 3566 |
1783 | 1783 |
1 |
Prime factors of 3566 are 2,1783. Prime factorization of 3566 in exponential form is:
3566 = 21×17831
∴ So by taking common prime factors GCF of 3565 and 3566 is 1
Factors of 3565
List of positive integer factors of 3565 that divides 3565 without a remainder.
1,5,23,31,115,155,713,3565
Factors of 3566
List of positive integer factors of 3566 that divides 3566 without a remainder.
1,2,1783,3566
Greatest Common Factor
We found the factors and prime factorization of 3565 and 3566. The biggest common factor number is the GCF number.
So the greatest common factor 3565 and 3566 is 1.
Also check out the Least Common Multiple of 3565 and 3566
(i) The GCF of 3565 and 3566 is associative
GCF of 3565 and 3566 = GCF of 3566 and 3565
1. What is the GCF of 3565 and 3566?
Answer: GCF of 3565 and 3566 is 1.
2. What are the Factors of 3565?
Answer: Factors of 3565 are 1, 5, 23, 31, 115, 155, 713, 3565. There are 8 integers that are factors of 3565. The greatest factor of 3565 is 3565.
3. What are the Factors of 3566?
Answer: Factors of 3566 are 1, 2, 1783, 3566. There are 4 integers that are factors of 3566. The greatest factor of 3566 is 3566.
4. How to Find the GCF of 3565 and 3566?
Answer:
Greatest Common Factor of 3565 and 3566 = 1
Step 1: Find the prime factorization of 3565
3565 = 5 x 23 x 31
Step 2: Find the prime factorization of 3566
3566 = 2 x 1783
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 3565 and 3566 is 1