What is the Greatest Common Factor of 13900 and 13912?

Greatest common factor (GCF) of 13900 and 13912 is 4.

GCF(13900,13912) = 4

We will now calculate the prime factors of 13900 and 13912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13900 and 13912.

How to find the GCF of 13900 and 13912?

We will first find the prime factorization of 13900 and 13912. After we will calculate the factors of 13900 and 13912 and find the biggest common factor number .

Step-1: Prime Factorization of 13900

Prime factors of 13900 are 2, 5, 139. Prime factorization of 13900 in exponential form is:

13900 = 2² × 5² × 139¹

Step-2: 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-3: Factors of 13900

List of positive integer factors of 13900 that divides 13900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 139, 278, 556, 695, 1390, 2780, 3475, 6950

Step-4: Factors of 13912

List of positive integer factors of 13912 that divides 13900 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13900 and 13912. The biggest common factor number is the GCF number.
So the greatest common factor 13900 and 13912 is 4.

Also check out the Least Common Multiple of 13900 and 13912