What is the Greatest Common Factor of 38253 and 38258?

Greatest common factor (GCF) of 38253 and 38258 is 1.

GCF(38253,38258) = 1

We will now calculate the prime factors of 38253 and 38258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38253 and 38258.

How to find the GCF of 38253 and 38258?

We will first find the prime factorization of 38253 and 38258. After we will calculate the factors of 38253 and 38258 and find the biggest common factor number .

Step-1: Prime Factorization of 38253

Prime factors of 38253 are 3, 41, 311. Prime factorization of 38253 in exponential form is:

38253 = 3¹ × 41¹ × 311¹

Step-2: Prime Factorization of 38258

Prime factors of 38258 are 2, 11, 37, 47. Prime factorization of 38258 in exponential form is:

38258 = 2¹ × 11¹ × 37¹ × 47¹

Step-3: Factors of 38253

List of positive integer factors of 38253 that divides 38253 without a remainder.

1, 3, 41, 123, 311, 933, 12751

Step-4: Factors of 38258

List of positive integer factors of 38258 that divides 38253 without a remainder.

1, 2, 11, 22, 37, 47, 74, 94, 407, 517, 814, 1034, 1739, 3478, 19129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38253 and 38258. The biggest common factor number is the GCF number.
So the greatest common factor 38253 and 38258 is 1.

Also check out the Least Common Multiple of 38253 and 38258