What is the Greatest Common Factor of 19888 and 19904?

Greatest common factor (GCF) of 19888 and 19904 is 16.

GCF(19888,19904) = 16

We will now calculate the prime factors of 19888 and 19904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19888 and 19904.

How to find the GCF of 19888 and 19904?

We will first find the prime factorization of 19888 and 19904. After we will calculate the factors of 19888 and 19904 and find the biggest common factor number .

Step-1: Prime Factorization of 19888

Prime factors of 19888 are 2, 11, 113. Prime factorization of 19888 in exponential form is:

19888 = 2⁴ × 11¹ × 113¹

Step-2: Prime Factorization of 19904

Prime factors of 19904 are 2, 311. Prime factorization of 19904 in exponential form is:

19904 = 2⁶ × 311¹

Step-3: Factors of 19888

List of positive integer factors of 19888 that divides 19888 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 113, 176, 226, 452, 904, 1243, 1808, 2486, 4972, 9944

Step-4: Factors of 19904

List of positive integer factors of 19904 that divides 19888 without a remainder.

1, 2, 4, 8, 16, 32, 64, 311, 622, 1244, 2488, 4976, 9952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19888 and 19904. The biggest common factor number is the GCF number.
So the greatest common factor 19888 and 19904 is 16.

Also check out the Least Common Multiple of 19888 and 19904