What is the Greatest Common Factor of 1629 and 1644?

Greatest common factor (GCF) of 1629 and 1644 is 3.

GCF(1629,1644) = 3

We will now calculate the prime factors of 1629 and 1644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1629 and 1644.

How to find the GCF of 1629 and 1644?

We will first find the prime factorization of 1629 and 1644. After we will calculate the factors of 1629 and 1644 and find the biggest common factor number .

Step-1: Prime Factorization of 1629

Prime factors of 1629 are 3, 181. Prime factorization of 1629 in exponential form is:

1629 = 3² × 181¹

Step-2: Prime Factorization of 1644

Prime factors of 1644 are 2, 3, 137. Prime factorization of 1644 in exponential form is:

1644 = 2² × 3¹ × 137¹

Step-3: Factors of 1629

List of positive integer factors of 1629 that divides 1629 without a remainder.

1, 3, 9, 181, 543

Step-4: Factors of 1644

List of positive integer factors of 1644 that divides 1629 without a remainder.

1, 2, 3, 4, 6, 12, 137, 274, 411, 548, 822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1629 and 1644. The biggest common factor number is the GCF number.
So the greatest common factor 1629 and 1644 is 3.

Also check out the Least Common Multiple of 1629 and 1644