What is the Greatest Common Factor of 48217 and 48234?

Greatest common factor (GCF) of 48217 and 48234 is 1.

GCF(48217,48234) = 1

We will now calculate the prime factors of 48217 and 48234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48217 and 48234.

How to find the GCF of 48217 and 48234?

We will first find the prime factorization of 48217 and 48234. After we will calculate the factors of 48217 and 48234 and find the biggest common factor number .

Step-1: Prime Factorization of 48217

Prime factors of 48217 are 13, 3709. Prime factorization of 48217 in exponential form is:

48217 = 13¹ × 3709¹

Step-2: Prime Factorization of 48234

Prime factors of 48234 are 2, 3, 8039. Prime factorization of 48234 in exponential form is:

48234 = 2¹ × 3¹ × 8039¹

Step-3: Factors of 48217

List of positive integer factors of 48217 that divides 48217 without a remainder.

1, 13, 3709

Step-4: Factors of 48234

List of positive integer factors of 48234 that divides 48217 without a remainder.

1, 2, 3, 6, 8039, 16078, 24117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48217 and 48234. The biggest common factor number is the GCF number.
So the greatest common factor 48217 and 48234 is 1.

Also check out the Least Common Multiple of 48217 and 48234