What is the Greatest Common Factor of 13879 and 13884?

Greatest common factor (GCF) of 13879 and 13884 is 1.

GCF(13879,13884) = 1

We will now calculate the prime factors of 13879 and 13884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13879 and 13884.

How to find the GCF of 13879 and 13884?

We will first find the prime factorization of 13879 and 13884. After we will calculate the factors of 13879 and 13884 and find the biggest common factor number .

Step-1: Prime Factorization of 13879

Prime factors of 13879 are 13879. Prime factorization of 13879 in exponential form is:

13879 = 13879¹

Step-2: 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-3: Factors of 13879

List of positive integer factors of 13879 that divides 13879 without a remainder.

Step-4: Factors of 13884

List of positive integer factors of 13884 that divides 13879 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13879 and 13884. The biggest common factor number is the GCF number.
So the greatest common factor 13879 and 13884 is 1.

Also check out the Least Common Multiple of 13879 and 13884