What is the Greatest Common Factor of 19916 and 19928?

Greatest common factor (GCF) of 19916 and 19928 is 4.

GCF(19916,19928) = 4

We will now calculate the prime factors of 19916 and 19928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19916 and 19928.

How to find the GCF of 19916 and 19928?

We will first find the prime factorization of 19916 and 19928. After we will calculate the factors of 19916 and 19928 and find the biggest common factor number .

Step-1: Prime Factorization of 19916

Prime factors of 19916 are 2, 13, 383. Prime factorization of 19916 in exponential form is:

19916 = 2² × 13¹ × 383¹

Step-2: Prime Factorization of 19928

Prime factors of 19928 are 2, 47, 53. Prime factorization of 19928 in exponential form is:

19928 = 2³ × 47¹ × 53¹

Step-3: Factors of 19916

List of positive integer factors of 19916 that divides 19916 without a remainder.

1, 2, 4, 13, 26, 52, 383, 766, 1532, 4979, 9958

Step-4: Factors of 19928

List of positive integer factors of 19928 that divides 19916 without a remainder.

1, 2, 4, 8, 47, 53, 94, 106, 188, 212, 376, 424, 2491, 4982, 9964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19916 and 19928. The biggest common factor number is the GCF number.
So the greatest common factor 19916 and 19928 is 4.

Also check out the Least Common Multiple of 19916 and 19928