What is the Greatest Common Factor of 38301 and 38314?

Greatest common factor (GCF) of 38301 and 38314 is 1.

GCF(38301,38314) = 1

We will now calculate the prime factors of 38301 and 38314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38301 and 38314.

How to find the GCF of 38301 and 38314?

We will first find the prime factorization of 38301 and 38314. After we will calculate the factors of 38301 and 38314 and find the biggest common factor number .

Step-1: Prime Factorization of 38301

Prime factors of 38301 are 3, 17, 751. Prime factorization of 38301 in exponential form is:

38301 = 3¹ × 17¹ × 751¹

Step-2: Prime Factorization of 38314

Prime factors of 38314 are 2, 19157. Prime factorization of 38314 in exponential form is:

38314 = 2¹ × 19157¹

Step-3: Factors of 38301

List of positive integer factors of 38301 that divides 38301 without a remainder.

1, 3, 17, 51, 751, 2253, 12767

Step-4: Factors of 38314

List of positive integer factors of 38314 that divides 38301 without a remainder.

1, 2, 19157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38301 and 38314. The biggest common factor number is the GCF number.
So the greatest common factor 38301 and 38314 is 1.

Also check out the Least Common Multiple of 38301 and 38314