What is the Greatest Common Factor of 13884 and 13900?

Greatest common factor (GCF) of 13884 and 13900 is 4.

GCF(13884,13900) = 4

We will now calculate the prime factors of 13884 and 13900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13884 and 13900.

How to find the GCF of 13884 and 13900?

We will first find the prime factorization of 13884 and 13900. After we will calculate the factors of 13884 and 13900 and find the biggest common factor number .

Step-1: Prime Factorization of 13884

Prime factors of 13884 are 2, 3, 13, 89. Prime factorization of 13884 in exponential form is:

13884 = 2² × 3¹ × 13¹ × 89¹

Step-2: 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-3: Factors of 13884

List of positive integer factors of 13884 that divides 13884 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 89, 156, 178, 267, 356, 534, 1068, 1157, 2314, 3471, 4628, 6942

Step-4: Factors of 13900

List of positive integer factors of 13900 that divides 13884 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13884 and 13900. The biggest common factor number is the GCF number.
So the greatest common factor 13884 and 13900 is 4.

Also check out the Least Common Multiple of 13884 and 13900