What is the Greatest Common Factor of 48258 and 48277?

Greatest common factor (GCF) of 48258 and 48277 is 1.

GCF(48258,48277) = 1

We will now calculate the prime factors of 48258 and 48277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48258 and 48277.

How to find the GCF of 48258 and 48277?

We will first find the prime factorization of 48258 and 48277. After we will calculate the factors of 48258 and 48277 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48277

Prime factors of 48277 are 23, 2099. Prime factorization of 48277 in exponential form is:

48277 = 23¹ × 2099¹

Step-3: Factors of 48258

List of positive integer factors of 48258 that divides 48258 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

Step-4: Factors of 48277

List of positive integer factors of 48277 that divides 48258 without a remainder.

1, 23, 2099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48258 and 48277. The biggest common factor number is the GCF number.
So the greatest common factor 48258 and 48277 is 1.

Also check out the Least Common Multiple of 48258 and 48277