What is the Greatest Common Factor of 38266 and 38273?

Greatest common factor (GCF) of 38266 and 38273 is 1.

GCF(38266,38273) = 1

We will now calculate the prime factors of 38266 and 38273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38266 and 38273.

How to find the GCF of 38266 and 38273?

We will first find the prime factorization of 38266 and 38273. After we will calculate the factors of 38266 and 38273 and find the biggest common factor number .

Step-1: Prime Factorization of 38266

Prime factors of 38266 are 2, 19, 53. Prime factorization of 38266 in exponential form is:

38266 = 2¹ × 19² × 53¹

Step-2: Prime Factorization of 38273

Prime factors of 38273 are 38273. Prime factorization of 38273 in exponential form is:

38273 = 38273¹

Step-3: Factors of 38266

List of positive integer factors of 38266 that divides 38266 without a remainder.

1, 2, 19, 38, 53, 106, 361, 722, 1007, 2014, 19133

Step-4: Factors of 38273

List of positive integer factors of 38273 that divides 38266 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38266 and 38273. The biggest common factor number is the GCF number.
So the greatest common factor 38266 and 38273 is 1.

Also check out the Least Common Multiple of 38266 and 38273