What is the Greatest Common Factor of 3872 and 3886?

Greatest common factor (GCF) of 3872 and 3886 is 2.

GCF(3872,3886) = 2

We will now calculate the prime factors of 3872 and 3886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3872 and 3886.

How to find the GCF of 3872 and 3886?

We will first find the prime factorization of 3872 and 3886. After we will calculate the factors of 3872 and 3886 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 3886

Prime factors of 3886 are 2, 29, 67. Prime factorization of 3886 in exponential form is:

3886 = 2¹ × 29¹ × 67¹

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 3886

List of positive integer factors of 3886 that divides 3872 without a remainder.

1, 2, 29, 58, 67, 134, 1943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3872 and 3886. The biggest common factor number is the GCF number.
So the greatest common factor 3872 and 3886 is 2.

Also check out the Least Common Multiple of 3872 and 3886