What is the Greatest Common Factor of 3874 and 3887?

Greatest common factor (GCF) of 3874 and 3887 is 13.

GCF(3874,3887) = 13

We will now calculate the prime factors of 3874 and 3887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3874 and 3887.

How to find the GCF of 3874 and 3887?

We will first find the prime factorization of 3874 and 3887. After we will calculate the factors of 3874 and 3887 and find the biggest common factor number .

Step-1: Prime Factorization of 3874

Prime factors of 3874 are 2, 13, 149. Prime factorization of 3874 in exponential form is:

3874 = 2¹ × 13¹ × 149¹

Step-2: Prime Factorization of 3887

Prime factors of 3887 are 13, 23. Prime factorization of 3887 in exponential form is:

3887 = 13² × 23¹

Step-3: Factors of 3874

List of positive integer factors of 3874 that divides 3874 without a remainder.

1, 2, 13, 26, 149, 298, 1937

Step-4: Factors of 3887

List of positive integer factors of 3887 that divides 3874 without a remainder.

1, 13, 23, 169, 299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3874 and 3887. The biggest common factor number is the GCF number.
So the greatest common factor 3874 and 3887 is 13.

Also check out the Least Common Multiple of 3874 and 3887