What is the Greatest Common Factor of 19638 and 19647?

Greatest common factor (GCF) of 19638 and 19647 is 9.

GCF(19638,19647) = 9

We will now calculate the prime factors of 19638 and 19647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19638 and 19647.

How to find the GCF of 19638 and 19647?

We will first find the prime factorization of 19638 and 19647. After we will calculate the factors of 19638 and 19647 and find the biggest common factor number .

Step-1: Prime Factorization of 19638

Prime factors of 19638 are 2, 3, 1091. Prime factorization of 19638 in exponential form is:

19638 = 2¹ × 3² × 1091¹

Step-2: Prime Factorization of 19647

Prime factors of 19647 are 3, 37, 59. Prime factorization of 19647 in exponential form is:

19647 = 3² × 37¹ × 59¹

Step-3: Factors of 19638

List of positive integer factors of 19638 that divides 19638 without a remainder.

1, 2, 3, 6, 9, 18, 1091, 2182, 3273, 6546, 9819

Step-4: Factors of 19647

List of positive integer factors of 19647 that divides 19638 without a remainder.

1, 3, 9, 37, 59, 111, 177, 333, 531, 2183, 6549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19638 and 19647. The biggest common factor number is the GCF number.
So the greatest common factor 19638 and 19647 is 9.

Also check out the Least Common Multiple of 19638 and 19647