What is the Greatest Common Factor of 13912 and 13928?

Greatest common factor (GCF) of 13912 and 13928 is 8.

GCF(13912,13928) = 8

We will now calculate the prime factors of 13912 and 13928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13912 and 13928.

How to find the GCF of 13912 and 13928?

We will first find the prime factorization of 13912 and 13928. After we will calculate the factors of 13912 and 13928 and find the biggest common factor number .

Step-1: Prime Factorization of 13912

Prime factors of 13912 are 2, 37, 47. Prime factorization of 13912 in exponential form is:

13912 = 2³ × 37¹ × 47¹

Step-2: Prime Factorization of 13928

Prime factors of 13928 are 2, 1741. Prime factorization of 13928 in exponential form is:

13928 = 2³ × 1741¹

Step-3: Factors of 13912

List of positive integer factors of 13912 that divides 13912 without a remainder.

1, 2, 4, 8, 37, 47, 74, 94, 148, 188, 296, 376, 1739, 3478, 6956

Step-4: Factors of 13928

List of positive integer factors of 13928 that divides 13912 without a remainder.

1, 2, 4, 8, 1741, 3482, 6964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13912 and 13928. The biggest common factor number is the GCF number.
So the greatest common factor 13912 and 13928 is 8.

Also check out the Least Common Multiple of 13912 and 13928