What is the Greatest Common Factor of 3884 and 3904?

Greatest common factor (GCF) of 3884 and 3904 is 4.

GCF(3884,3904) = 4

We will now calculate the prime factors of 3884 and 3904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3884 and 3904.

How to find the GCF of 3884 and 3904?

We will first find the prime factorization of 3884 and 3904. After we will calculate the factors of 3884 and 3904 and find the biggest common factor number .

Step-1: Prime Factorization of 3884

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

3884 = 2² × 971¹

Step-2: Prime Factorization of 3904

Prime factors of 3904 are 2, 61. Prime factorization of 3904 in exponential form is:

3904 = 2⁶ × 61¹

Step-3: Factors of 3884

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

1, 2, 4, 971, 1942

Step-4: Factors of 3904

List of positive integer factors of 3904 that divides 3884 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3884 and 3904. The biggest common factor number is the GCF number.
So the greatest common factor 3884 and 3904 is 4.

Also check out the Least Common Multiple of 3884 and 3904