What is the Greatest Common Factor of 1614 and 1627?

Greatest common factor (GCF) of 1614 and 1627 is 1.

GCF(1614,1627) = 1

We will now calculate the prime factors of 1614 and 1627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1614 and 1627.

How to find the GCF of 1614 and 1627?

We will first find the prime factorization of 1614 and 1627. After we will calculate the factors of 1614 and 1627 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 1627

Prime factors of 1627 are 1627. Prime factorization of 1627 in exponential form is:

1627 = 1627¹

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 1627

List of positive integer factors of 1627 that divides 1614 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1614 and 1627. The biggest common factor number is the GCF number.
So the greatest common factor 1614 and 1627 is 1.

Also check out the Least Common Multiple of 1614 and 1627