What is the Greatest Common Factor of 3872 and 3876?

Greatest common factor (GCF) of 3872 and 3876 is 4.

GCF(3872,3876) = 4

We will now calculate the prime factors of 3872 and 3876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3872 and 3876.

How to find the GCF of 3872 and 3876?

We will first find the prime factorization of 3872 and 3876. After we will calculate the factors of 3872 and 3876 and find the biggest common factor number .

Step-1: Prime Factorization of 3872

Prime factors of 3872 are 2, 11. Prime factorization of 3872 in exponential form is:

3872 = 2⁵ × 11²

Step-2: 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-3: Factors of 3872

List of positive integer factors of 3872 that divides 3872 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936

Step-4: Factors of 3876

List of positive integer factors of 3876 that divides 3872 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3872 and 3876. The biggest common factor number is the GCF number.
So the greatest common factor 3872 and 3876 is 4.

Also check out the Least Common Multiple of 3872 and 3876