What is the Greatest Common Factor of 3904 and 3920?

Greatest common factor (GCF) of 3904 and 3920 is 16.

GCF(3904,3920) = 16

We will now calculate the prime factors of 3904 and 3920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3904 and 3920.

How to find the GCF of 3904 and 3920?

We will first find the prime factorization of 3904 and 3920. After we will calculate the factors of 3904 and 3920 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 3920

Prime factors of 3920 are 2, 5, 7. Prime factorization of 3920 in exponential form is:

3920 = 2⁴ × 5¹ × 7²

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 3920

List of positive integer factors of 3920 that divides 3904 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3904 and 3920. The biggest common factor number is the GCF number.
So the greatest common factor 3904 and 3920 is 16.

Also check out the Least Common Multiple of 3904 and 3920