What is the Greatest Common Factor of 19632 and 19644?

Greatest common factor (GCF) of 19632 and 19644 is 12.

GCF(19632,19644) = 12

We will now calculate the prime factors of 19632 and 19644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19632 and 19644.

How to find the GCF of 19632 and 19644?

We will first find the prime factorization of 19632 and 19644. After we will calculate the factors of 19632 and 19644 and find the biggest common factor number .

Step-1: Prime Factorization of 19632

Prime factors of 19632 are 2, 3, 409. Prime factorization of 19632 in exponential form is:

19632 = 2⁴ × 3¹ × 409¹

Step-2: Prime Factorization of 19644

Prime factors of 19644 are 2, 3, 1637. Prime factorization of 19644 in exponential form is:

19644 = 2² × 3¹ × 1637¹

Step-3: Factors of 19632

List of positive integer factors of 19632 that divides 19632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 409, 818, 1227, 1636, 2454, 3272, 4908, 6544, 9816

Step-4: Factors of 19644

List of positive integer factors of 19644 that divides 19632 without a remainder.

1, 2, 3, 4, 6, 12, 1637, 3274, 4911, 6548, 9822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19632 and 19644. The biggest common factor number is the GCF number.
So the greatest common factor 19632 and 19644 is 12.

Also check out the Least Common Multiple of 19632 and 19644