What is the Greatest Common Factor of 38900 and 38904?

Greatest common factor (GCF) of 38900 and 38904 is 4.

GCF(38900,38904) = 4

We will now calculate the prime factors of 38900 and 38904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38900 and 38904.

How to find the GCF of 38900 and 38904?

We will first find the prime factorization of 38900 and 38904. After we will calculate the factors of 38900 and 38904 and find the biggest common factor number .

Step-1: Prime Factorization of 38900

Prime factors of 38900 are 2, 5, 389. Prime factorization of 38900 in exponential form is:

38900 = 2² × 5² × 389¹

Step-2: Prime Factorization of 38904

Prime factors of 38904 are 2, 3, 1621. Prime factorization of 38904 in exponential form is:

38904 = 2³ × 3¹ × 1621¹

Step-3: Factors of 38900

List of positive integer factors of 38900 that divides 38900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 389, 778, 1556, 1945, 3890, 7780, 9725, 19450

Step-4: Factors of 38904

List of positive integer factors of 38904 that divides 38900 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1621, 3242, 4863, 6484, 9726, 12968, 19452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38900 and 38904. The biggest common factor number is the GCF number.
So the greatest common factor 38900 and 38904 is 4.

Also check out the Least Common Multiple of 38900 and 38904