What is the Greatest Common Factor of 48253 and 48258?

Greatest common factor (GCF) of 48253 and 48258 is 1.

GCF(48253,48258) = 1

We will now calculate the prime factors of 48253 and 48258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48253 and 48258.

How to find the GCF of 48253 and 48258?

We will first find the prime factorization of 48253 and 48258. After we will calculate the factors of 48253 and 48258 and find the biggest common factor number .

Step-1: Prime Factorization of 48253

Prime factors of 48253 are 73, 661. Prime factorization of 48253 in exponential form is:

48253 = 73¹ × 661¹

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 48253

List of positive integer factors of 48253 that divides 48253 without a remainder.

1, 73, 661

Step-4: Factors of 48258

List of positive integer factors of 48258 that divides 48253 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 48253 and 48258. The biggest common factor number is the GCF number.
So the greatest common factor 48253 and 48258 is 1.

Also check out the Least Common Multiple of 48253 and 48258