What is the Greatest Common Factor of 13884 and 13897?

Greatest common factor (GCF) of 13884 and 13897 is 13.

GCF(13884,13897) = 13

We will now calculate the prime factors of 13884 and 13897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13884 and 13897.

How to find the GCF of 13884 and 13897?

We will first find the prime factorization of 13884 and 13897. After we will calculate the factors of 13884 and 13897 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 13897

Prime factors of 13897 are 13, 1069. Prime factorization of 13897 in exponential form is:

13897 = 13¹ × 1069¹

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 13897

List of positive integer factors of 13897 that divides 13884 without a remainder.

1, 13, 1069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13884 and 13897. The biggest common factor number is the GCF number.
So the greatest common factor 13884 and 13897 is 13.

Also check out the Least Common Multiple of 13884 and 13897