What is the Greatest Common Factor of 38305 and 38312?

Greatest common factor (GCF) of 38305 and 38312 is 1.

GCF(38305,38312) = 1

We will now calculate the prime factors of 38305 and 38312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38305 and 38312.

How to find the GCF of 38305 and 38312?

We will first find the prime factorization of 38305 and 38312. After we will calculate the factors of 38305 and 38312 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38312

Prime factors of 38312 are 2, 4789. Prime factorization of 38312 in exponential form is:

38312 = 2³ × 4789¹

Step-3: Factors of 38305

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

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

Step-4: Factors of 38312

List of positive integer factors of 38312 that divides 38305 without a remainder.

1, 2, 4, 8, 4789, 9578, 19156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38305 and 38312. The biggest common factor number is the GCF number.
So the greatest common factor 38305 and 38312 is 1.

Also check out the Least Common Multiple of 38305 and 38312