What is the Greatest Common Factor of 19884 and 19896?

Greatest common factor (GCF) of 19884 and 19896 is 12.

GCF(19884,19896) = 12

We will now calculate the prime factors of 19884 and 19896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19884 and 19896.

How to find the GCF of 19884 and 19896?

We will first find the prime factorization of 19884 and 19896. After we will calculate the factors of 19884 and 19896 and find the biggest common factor number .

Step-1: Prime Factorization of 19884

Prime factors of 19884 are 2, 3, 1657. Prime factorization of 19884 in exponential form is:

19884 = 2² × 3¹ × 1657¹

Step-2: Prime Factorization of 19896

Prime factors of 19896 are 2, 3, 829. Prime factorization of 19896 in exponential form is:

19896 = 2³ × 3¹ × 829¹

Step-3: Factors of 19884

List of positive integer factors of 19884 that divides 19884 without a remainder.

1, 2, 3, 4, 6, 12, 1657, 3314, 4971, 6628, 9942

Step-4: Factors of 19896

List of positive integer factors of 19896 that divides 19884 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 829, 1658, 2487, 3316, 4974, 6632, 9948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19884 and 19896. The biggest common factor number is the GCF number.
So the greatest common factor 19884 and 19896 is 12.

Also check out the Least Common Multiple of 19884 and 19896