What is the Greatest Common Factor of 19928 and 19936?

Greatest common factor (GCF) of 19928 and 19936 is 8.

GCF(19928,19936) = 8

We will now calculate the prime factors of 19928 and 19936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19928 and 19936.

How to find the GCF of 19928 and 19936?

We will first find the prime factorization of 19928 and 19936. After we will calculate the factors of 19928 and 19936 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19936

Prime factors of 19936 are 2, 7, 89. Prime factorization of 19936 in exponential form is:

19936 = 2⁵ × 7¹ × 89¹

Step-3: Factors of 19928

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

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

Step-4: Factors of 19936

List of positive integer factors of 19936 that divides 19928 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 89, 112, 178, 224, 356, 623, 712, 1246, 1424, 2492, 2848, 4984, 9968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19928 and 19936. The biggest common factor number is the GCF number.
So the greatest common factor 19928 and 19936 is 8.

Also check out the Least Common Multiple of 19928 and 19936