What is the Greatest Common Factor of 3872 and 3878?

Greatest common factor (GCF) of 3872 and 3878 is 2.

GCF(3872,3878) = 2

We will now calculate the prime factors of 3872 and 3878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3872 and 3878.

How to find the GCF of 3872 and 3878?

We will first find the prime factorization of 3872 and 3878. After we will calculate the factors of 3872 and 3878 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 3878

Prime factors of 3878 are 2, 7, 277. Prime factorization of 3878 in exponential form is:

3878 = 2¹ × 7¹ × 277¹

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 3878

List of positive integer factors of 3878 that divides 3872 without a remainder.

1, 2, 7, 14, 277, 554, 1939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3872 and 3878. The biggest common factor number is the GCF number.
So the greatest common factor 3872 and 3878 is 2.

Also check out the Least Common Multiple of 3872 and 3878