What is the Greatest Common Factor of 1614 and 1623?

Greatest common factor (GCF) of 1614 and 1623 is 3.

GCF(1614,1623) = 3

We will now calculate the prime factors of 1614 and 1623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1614 and 1623.

How to find the GCF of 1614 and 1623?

We will first find the prime factorization of 1614 and 1623. After we will calculate the factors of 1614 and 1623 and find the biggest common factor number .

Step-1: Prime Factorization of 1614

Prime factors of 1614 are 2, 3, 269. Prime factorization of 1614 in exponential form is:

1614 = 2¹ × 3¹ × 269¹

Step-2: Prime Factorization of 1623

Prime factors of 1623 are 3, 541. Prime factorization of 1623 in exponential form is:

1623 = 3¹ × 541¹

Step-3: Factors of 1614

List of positive integer factors of 1614 that divides 1614 without a remainder.

1, 2, 3, 6, 269, 538, 807

Step-4: Factors of 1623

List of positive integer factors of 1623 that divides 1614 without a remainder.

1, 3, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1614 and 1623. The biggest common factor number is the GCF number.
So the greatest common factor 1614 and 1623 is 3.

Also check out the Least Common Multiple of 1614 and 1623