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 5659, 5667 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5659 and 5667 is 1.
GCF(5659,5667) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5659
5659 | 5659 |
1 |
Prime factors of 5659 are 5659. Prime factorization of 5659 in exponential form is:
5659 = 56591
Prime Factorization of 5667
3 | 5667 |
1889 | 1889 |
1 |
Prime factors of 5667 are 3.Prime factorization of 5667 in exponential form is:
5667 = 31×18891
∴ So by taking common prime factors GCF of 5659 and 5667 is 1
Factors of 5659
List of positive integer factors of 5659 that divides 5659 without a remainder.
1,5659
Factors of 5667
List of positive integer factors of 5667 that divides 5667 without a remainder.
1,3,1889,5667
Greatest Common Factor
We found the factors and prime factorization of 5659 and 5667. The biggest common factor number is the GCF number.
So the greatest common factor 5659 and 5667 is 1.
Also check out the Least Common Multiple of 5659 and 5667
(i) The GCF of 5659 and 5667 is associative
GCF of 5659 and 5667 = GCF of 5667 and 5659
1. What is the GCF of 5659 and 5667?
Answer: GCF of 5659 and 5667 is 1.
2. What are the Factors of 5659?
Answer: Factors of 5659 are 1, 5659. There are 2 integers that are factors of 5659. The greatest factor of 5659 is 5659.
3. What are the Factors of 5667?
Answer: Factors of 5667 are 1, 3, 1889, 5667. There are 4 integers that are factors of 5667. The greatest factor of 5667 is 5667.
4. How to Find the GCF of 5659 and 5667?
Answer:
Greatest Common Factor of 5659 and 5667 = 1
Step 1: Find the prime factorization of 5659
5659 = 5659
Step 2: Find the prime factorization of 5667
5667 = 3 x 1889
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 5659 and 5667 is 1