What is the Greatest Common Factor of 48241 and 48258?

Greatest common factor (GCF) of 48241 and 48258 is 1.

GCF(48241,48258) = 1

We will now calculate the prime factors of 48241 and 48258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48241 and 48258.

How to find the GCF of 48241 and 48258?

We will first find the prime factorization of 48241 and 48258. After we will calculate the factors of 48241 and 48258 and find the biggest common factor number .

Step-1: Prime Factorization of 48241

Prime factors of 48241 are 19, 2539. Prime factorization of 48241 in exponential form is:

48241 = 19¹ × 2539¹

Step-2: Prime Factorization of 48258

Prime factors of 48258 are 2, 3, 7, 383. Prime factorization of 48258 in exponential form is:

48258 = 2¹ × 3² × 7¹ × 383¹

Step-3: Factors of 48241

List of positive integer factors of 48241 that divides 48241 without a remainder.

1, 19, 2539

Step-4: Factors of 48258

List of positive integer factors of 48258 that divides 48241 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 383, 766, 1149, 2298, 2681, 3447, 5362, 6894, 8043, 16086, 24129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48241 and 48258. The biggest common factor number is the GCF number.
So the greatest common factor 48241 and 48258 is 1.

Also check out the Least Common Multiple of 48241 and 48258