What is the Greatest Common Factor of 38300 and 38305?

Greatest common factor (GCF) of 38300 and 38305 is 5.

GCF(38300,38305) = 5

We will now calculate the prime factors of 38300 and 38305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38300 and 38305.

How to find the GCF of 38300 and 38305?

We will first find the prime factorization of 38300 and 38305. After we will calculate the factors of 38300 and 38305 and find the biggest common factor number .

Step-1: Prime Factorization of 38300

Prime factors of 38300 are 2, 5, 383. Prime factorization of 38300 in exponential form is:

38300 = 2² × 5² × 383¹

Step-2: Prime Factorization of 38305

Prime factors of 38305 are 5, 47, 163. Prime factorization of 38305 in exponential form is:

38305 = 5¹ × 47¹ × 163¹

Step-3: Factors of 38300

List of positive integer factors of 38300 that divides 38300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 383, 766, 1532, 1915, 3830, 7660, 9575, 19150

Step-4: Factors of 38305

List of positive integer factors of 38305 that divides 38300 without a remainder.

1, 5, 47, 163, 235, 815, 7661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38300 and 38305. The biggest common factor number is the GCF number.
So the greatest common factor 38300 and 38305 is 5.

Also check out the Least Common Multiple of 38300 and 38305