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 1618, 1623 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1618 and 1623 is 1.
GCF(1618,1623) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1623
3 | 1623 |
541 | 541 |
1 |
Prime factors of 1623 are 3,541. Prime factorization of 1623 in exponential form is:
1623 = 31×5411
∴ So by taking common prime factors GCF of 1618 and 1623 is 1
Factors of 1618
List of positive integer factors of 1618 that divides 1618 without a remainder.
1,2,809,1618
Factors of 1623
List of positive integer factors of 1623 that divides 1623 without a remainder.
1,3,541,1623
Greatest Common Factor
We found the factors and prime factorization of 1618 and 1623. The biggest common factor number is the GCF number.
So the greatest common factor 1618 and 1623 is 1.
Also check out the Least Common Multiple of 1618 and 1623
(i) The GCF of 1618 and 1623 is associative
GCF of 1618 and 1623 = GCF of 1623 and 1618
1. What is the GCF of 1618 and 1623?
Answer: GCF of 1618 and 1623 is 1.
2. 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.
3. What are the Factors of 1623?
Answer: Factors of 1623 are 1, 3, 541, 1623. There are 4 integers that are factors of 1623. The greatest factor of 1623 is 1623.
4. How to Find the GCF of 1618 and 1623?
Answer:
Greatest Common Factor of 1618 and 1623 = 1
Step 1: Find the prime factorization of 1618
1618 = 2 x 809
Step 2: Find the prime factorization of 1623
1623 = 3 x 541
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 1618 and 1623 is 1