What is the Greatest Common Factor of 38285 and 38293?

Greatest common factor (GCF) of 38285 and 38293 is 1.

GCF(38285,38293) = 1

We will now calculate the prime factors of 38285 and 38293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38285 and 38293.

How to find the GCF of 38285 and 38293?

We will first find the prime factorization of 38285 and 38293. After we will calculate the factors of 38285 and 38293 and find the biggest common factor number .

Step-1: Prime Factorization of 38285

Prime factors of 38285 are 5, 13, 19, 31. Prime factorization of 38285 in exponential form is:

38285 = 5¹ × 13¹ × 19¹ × 31¹

Step-2: Prime Factorization of 38293

Prime factors of 38293 are 149, 257. Prime factorization of 38293 in exponential form is:

38293 = 149¹ × 257¹

Step-3: Factors of 38285

List of positive integer factors of 38285 that divides 38285 without a remainder.

1, 5, 13, 19, 31, 65, 95, 155, 247, 403, 589, 1235, 2015, 2945, 7657

Step-4: Factors of 38293

List of positive integer factors of 38293 that divides 38285 without a remainder.

1, 149, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38285 and 38293. The biggest common factor number is the GCF number.
So the greatest common factor 38285 and 38293 is 1.

Also check out the Least Common Multiple of 38285 and 38293