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 1606, 1614 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1606 and 1614 is 2.
GCF(1606,1614) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1606
2 | 1606 |
11 | 803 |
73 | 73 |
1 |
Prime factors of 1606 are 2,11,73. Prime factorization of 1606 in exponential form is:
1606 = 21×111×731
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
∴ So by taking common prime factors GCF of 1606 and 1614 is 2
Factors of 1606
List of positive integer factors of 1606 that divides 1606 without a remainder.
1,2,11,22,73,146,803,1606
Factors of 1614
List of positive integer factors of 1614 that divides 1614 without a remainder.
1,2,3,6,269,538,807,1614
Greatest Common Factor
We found the factors and prime factorization of 1606 and 1614. The biggest common factor number is the GCF number.
So the greatest common factor 1606 and 1614 is 2.
Also check out the Least Common Multiple of 1606 and 1614
(i) The GCF of 1606 and 1614 is associative
GCF of 1606 and 1614 = GCF of 1614 and 1606
1. What is the GCF of 1606 and 1614?
Answer: GCF of 1606 and 1614 is 2.
2. What are the Factors of 1606?
Answer: Factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606. There are 8 integers that are factors of 1606. The greatest factor of 1606 is 1606.
3. 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.
4. How to Find the GCF of 1606 and 1614?
Answer:
Greatest Common Factor of 1606 and 1614 = 2
Step 1: Find the prime factorization of 1606
1606 = 2 x 11 x 73
Step 2: Find the prime factorization of 1614
1614 = 2 x 3 x 269
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 1606 and 1614 is 2