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 1614, 1618 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1614 and 1618 is 2.
GCF(1614,1618) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1614
2 | 1614 |
3 | 807 |
269 | 269 |
1 |
Prime factors of 1614 are 2,3,269. Prime factorization of 1614 in exponential form is:
1614 = 21×31×2691
Prime Factorization of 1618
2 | 1618 |
809 | 809 |
1 |
Prime factors of 1618 are 2,809. Prime factorization of 1618 in exponential form is:
1618 = 21×8091
∴ So by taking common prime factors GCF of 1614 and 1618 is 2
Factors of 1614
List of positive integer factors of 1614 that divides 1614 without a remainder.
1,2,3,6,269,538,807,1614
Factors of 1618
List of positive integer factors of 1618 that divides 1618 without a remainder.
1,2,809,1618
Greatest Common Factor
We found the factors and prime factorization of 1614 and 1618. The biggest common factor number is the GCF number.
So the greatest common factor 1614 and 1618 is 2.
Also check out the Least Common Multiple of 1614 and 1618
(i) The GCF of 1614 and 1618 is associative
GCF of 1614 and 1618 = GCF of 1618 and 1614
1. What is the GCF of 1614 and 1618?
Answer: GCF of 1614 and 1618 is 2.
2. What are the Factors of 1614?
Answer: Factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614. There are 8 integers that are factors of 1614. The greatest factor of 1614 is 1614.
3. What are the Factors of 1618?
Answer: Factors of 1618 are 1, 2, 809, 1618. There are 4 integers that are factors of 1618. The greatest factor of 1618 is 1618.
4. How to Find the GCF of 1614 and 1618?
Answer:
Greatest Common Factor of 1614 and 1618 = 2
Step 1: Find the prime factorization of 1614
1614 = 2 x 3 x 269
Step 2: Find the prime factorization of 1618
1618 = 2 x 809
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1614 and 1618 is 2