What is the Greatest Common Factor of 3876 and 3895?

Greatest common factor (GCF) of 3876 and 3895 is 19.

GCF(3876,3895) = 19

We will now calculate the prime factors of 3876 and 3895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3876 and 3895.

How to find the GCF of 3876 and 3895?

We will first find the prime factorization of 3876 and 3895. After we will calculate the factors of 3876 and 3895 and find the biggest common factor number .

Step-1: Prime Factorization of 3876

Prime factors of 3876 are 2, 3, 17, 19. Prime factorization of 3876 in exponential form is:

3876 = 2² × 3¹ × 17¹ × 19¹

Step-2: Prime Factorization of 3895

Prime factors of 3895 are 5, 19, 41. Prime factorization of 3895 in exponential form is:

3895 = 5¹ × 19¹ × 41¹

Step-3: Factors of 3876

List of positive integer factors of 3876 that divides 3876 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938

Step-4: Factors of 3895

List of positive integer factors of 3895 that divides 3876 without a remainder.

1, 5, 19, 41, 95, 205, 779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3876 and 3895. The biggest common factor number is the GCF number.
So the greatest common factor 3876 and 3895 is 19.

Also check out the Least Common Multiple of 3876 and 3895