What is the Greatest Common Factor of 3872 and 3884?

Greatest common factor (GCF) of 3872 and 3884 is 4.

GCF(3872,3884) = 4

We will now calculate the prime factors of 3872 and 3884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3872 and 3884.

How to find the GCF of 3872 and 3884?

We will first find the prime factorization of 3872 and 3884. After we will calculate the factors of 3872 and 3884 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 3884

Prime factors of 3884 are 2, 971. Prime factorization of 3884 in exponential form is:

3884 = 2² × 971¹

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 3884

List of positive integer factors of 3884 that divides 3872 without a remainder.

1, 2, 4, 971, 1942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3872 and 3884. The biggest common factor number is the GCF number.
So the greatest common factor 3872 and 3884 is 4.

Also check out the Least Common Multiple of 3872 and 3884