What is the Greatest Common Factor of 19928 and 19948?

Greatest common factor (GCF) of 19928 and 19948 is 4.

GCF(19928,19948) = 4

We will now calculate the prime factors of 19928 and 19948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19928 and 19948.

How to find the GCF of 19928 and 19948?

We will first find the prime factorization of 19928 and 19948. After we will calculate the factors of 19928 and 19948 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 19948

Prime factors of 19948 are 2, 4987. Prime factorization of 19948 in exponential form is:

19948 = 2² × 4987¹

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 19948

List of positive integer factors of 19948 that divides 19928 without a remainder.

1, 2, 4, 4987, 9974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19928 and 19948. The biggest common factor number is the GCF number.
So the greatest common factor 19928 and 19948 is 4.

Also check out the Least Common Multiple of 19928 and 19948