What is the Greatest Common Factor of 3887 and 3896?

Greatest common factor (GCF) of 3887 and 3896 is 1.

GCF(3887,3896) = 1

We will now calculate the prime factors of 3887 and 3896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3887 and 3896.

How to find the GCF of 3887 and 3896?

We will first find the prime factorization of 3887 and 3896. After we will calculate the factors of 3887 and 3896 and find the biggest common factor number .

Step-1: Prime Factorization of 3887

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

3887 = 13² × 23¹

Step-2: Prime Factorization of 3896

Prime factors of 3896 are 2, 487. Prime factorization of 3896 in exponential form is:

3896 = 2³ × 487¹

Step-3: Factors of 3887

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

1, 13, 23, 169, 299

Step-4: Factors of 3896

List of positive integer factors of 3896 that divides 3887 without a remainder.

1, 2, 4, 8, 487, 974, 1948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3887 and 3896. The biggest common factor number is the GCF number.
So the greatest common factor 3887 and 3896 is 1.

Also check out the Least Common Multiple of 3887 and 3896