What is the Greatest Common Factor of 3900 and 3904?

Greatest common factor (GCF) of 3900 and 3904 is 4.

GCF(3900,3904) = 4

We will now calculate the prime factors of 3900 and 3904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3900 and 3904.

How to find the GCF of 3900 and 3904?

We will first find the prime factorization of 3900 and 3904. After we will calculate the factors of 3900 and 3904 and find the biggest common factor number .

Step-1: Prime Factorization of 3900

Prime factors of 3900 are 2, 3, 5, 13. Prime factorization of 3900 in exponential form is:

3900 = 2² × 3¹ × 5² × 13¹

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 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950

Step-4: Factors of 3904

List of positive integer factors of 3904 that divides 3900 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 3900 and 3904. The biggest common factor number is the GCF number.
So the greatest common factor 3900 and 3904 is 4.

Also check out the Least Common Multiple of 3900 and 3904