What is the Greatest Common Factor of 38200 and 38204?

Greatest common factor (GCF) of 38200 and 38204 is 4.

GCF(38200,38204) = 4

We will now calculate the prime factors of 38200 and 38204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38200 and 38204.

How to find the GCF of 38200 and 38204?

We will first find the prime factorization of 38200 and 38204. After we will calculate the factors of 38200 and 38204 and find the biggest common factor number .

Step-1: Prime Factorization of 38200

Prime factors of 38200 are 2, 5, 191. Prime factorization of 38200 in exponential form is:

38200 = 2³ × 5² × 191¹

Step-2: Prime Factorization of 38204

Prime factors of 38204 are 2, 9551. Prime factorization of 38204 in exponential form is:

38204 = 2² × 9551¹

Step-3: Factors of 38200

List of positive integer factors of 38200 that divides 38200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 191, 200, 382, 764, 955, 1528, 1910, 3820, 4775, 7640, 9550, 19100

Step-4: Factors of 38204

List of positive integer factors of 38204 that divides 38200 without a remainder.

1, 2, 4, 9551, 19102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38200 and 38204. The biggest common factor number is the GCF number.
So the greatest common factor 38200 and 38204 is 4.

Also check out the Least Common Multiple of 38200 and 38204