What is the Greatest Common Factor of 3876 and 3896?

Greatest common factor (GCF) of 3876 and 3896 is 4.

GCF(3876,3896) = 4

We will now calculate the prime factors of 3876 and 3896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3876 and 3896.

How to find the GCF of 3876 and 3896?

We will first find the prime factorization of 3876 and 3896. After we will calculate the factors of 3876 and 3896 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 3896

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

3896 = 2³ × 487¹

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 3896

List of positive integer factors of 3896 that divides 3876 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3876 and 3896. The biggest common factor number is the GCF number.
So the greatest common factor 3876 and 3896 is 4.

Also check out the Least Common Multiple of 3876 and 3896