What is the Greatest Common Factor of 19644 and 19648?

Greatest common factor (GCF) of 19644 and 19648 is 4.

GCF(19644,19648) = 4

We will now calculate the prime factors of 19644 and 19648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19644 and 19648.

How to find the GCF of 19644 and 19648?

We will first find the prime factorization of 19644 and 19648. After we will calculate the factors of 19644 and 19648 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19648

Prime factors of 19648 are 2, 307. Prime factorization of 19648 in exponential form is:

19648 = 2⁶ × 307¹

Step-3: Factors of 19644

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

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

Step-4: Factors of 19648

List of positive integer factors of 19648 that divides 19644 without a remainder.

1, 2, 4, 8, 16, 32, 64, 307, 614, 1228, 2456, 4912, 9824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19644 and 19648. The biggest common factor number is the GCF number.
So the greatest common factor 19644 and 19648 is 4.

Also check out the Least Common Multiple of 19644 and 19648