What is the Greatest Common Factor of 19647 and 19653?

Greatest common factor (GCF) of 19647 and 19653 is 3.

GCF(19647,19653) = 3

We will now calculate the prime factors of 19647 and 19653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19647 and 19653.

How to find the GCF of 19647 and 19653?

We will first find the prime factorization of 19647 and 19653. After we will calculate the factors of 19647 and 19653 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19653

Prime factors of 19653 are 3, 6551. Prime factorization of 19653 in exponential form is:

19653 = 3¹ × 6551¹

Step-3: Factors of 19647

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

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

Step-4: Factors of 19653

List of positive integer factors of 19653 that divides 19647 without a remainder.

1, 3, 6551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19647 and 19653. The biggest common factor number is the GCF number.
So the greatest common factor 19647 and 19653 is 3.

Also check out the Least Common Multiple of 19647 and 19653