What is the Greatest Common Factor of 13874 and 13883?

Greatest common factor (GCF) of 13874 and 13883 is 1.

GCF(13874,13883) = 1

We will now calculate the prime factors of 13874 and 13883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13874 and 13883.

How to find the GCF of 13874 and 13883?

We will first find the prime factorization of 13874 and 13883. After we will calculate the factors of 13874 and 13883 and find the biggest common factor number .

Step-1: Prime Factorization of 13874

Prime factors of 13874 are 2, 7, 991. Prime factorization of 13874 in exponential form is:

13874 = 2¹ × 7¹ × 991¹

Step-2: Prime Factorization of 13883

Prime factors of 13883 are 13883. Prime factorization of 13883 in exponential form is:

13883 = 13883¹

Step-3: Factors of 13874

List of positive integer factors of 13874 that divides 13874 without a remainder.

1, 2, 7, 14, 991, 1982, 6937

Step-4: Factors of 13883

List of positive integer factors of 13883 that divides 13874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13874 and 13883. The biggest common factor number is the GCF number.
So the greatest common factor 13874 and 13883 is 1.

Also check out the Least Common Multiple of 13874 and 13883