What is the Greatest Common Factor of 3904 and 3922?

Greatest common factor (GCF) of 3904 and 3922 is 2.

GCF(3904,3922) = 2

We will now calculate the prime factors of 3904 and 3922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3904 and 3922.

How to find the GCF of 3904 and 3922?

We will first find the prime factorization of 3904 and 3922. After we will calculate the factors of 3904 and 3922 and find the biggest common factor number .

Step-1: Prime Factorization of 3904

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

3904 = 2⁶ × 61¹

Step-2: Prime Factorization of 3922

Prime factors of 3922 are 2, 37, 53. Prime factorization of 3922 in exponential form is:

3922 = 2¹ × 37¹ × 53¹

Step-3: Factors of 3904

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

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

Step-4: Factors of 3922

List of positive integer factors of 3922 that divides 3904 without a remainder.

1, 2, 37, 53, 74, 106, 1961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3904 and 3922. The biggest common factor number is the GCF number.
So the greatest common factor 3904 and 3922 is 2.

Also check out the Least Common Multiple of 3904 and 3922