What is the Greatest Common Factor of 1614 and 1624?

Greatest common factor (GCF) of 1614 and 1624 is 2.

GCF(1614,1624) = 2

We will now calculate the prime factors of 1614 and 1624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1614 and 1624.

How to find the GCF of 1614 and 1624?

We will first find the prime factorization of 1614 and 1624. After we will calculate the factors of 1614 and 1624 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 1624

Prime factors of 1624 are 2, 7, 29. Prime factorization of 1624 in exponential form is:

1624 = 2³ × 7¹ × 29¹

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 1624

List of positive integer factors of 1624 that divides 1614 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1614 and 1624. The biggest common factor number is the GCF number.
So the greatest common factor 1614 and 1624 is 2.

Also check out the Least Common Multiple of 1614 and 1624