What is the Greatest Common Factor of 96238 and 96248?

Greatest common factor (GCF) of 96238 and 96248 is 2.

GCF(96238,96248) = 2

We will now calculate the prime factors of 96238 and 96248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96238 and 96248.

How to find the GCF of 96238 and 96248?

We will first find the prime factorization of 96238 and 96248. After we will calculate the factors of 96238 and 96248 and find the biggest common factor number .

Step-1: Prime Factorization of 96238

Prime factors of 96238 are 2, 48119. Prime factorization of 96238 in exponential form is:

96238 = 2¹ × 48119¹

Step-2: Prime Factorization of 96248

Prime factors of 96248 are 2, 53, 227. Prime factorization of 96248 in exponential form is:

96248 = 2³ × 53¹ × 227¹

Step-3: Factors of 96238

List of positive integer factors of 96238 that divides 96238 without a remainder.

1, 2, 48119

Step-4: Factors of 96248

List of positive integer factors of 96248 that divides 96238 without a remainder.

1, 2, 4, 8, 53, 106, 212, 227, 424, 454, 908, 1816, 12031, 24062, 48124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96238 and 96248. The biggest common factor number is the GCF number.
So the greatest common factor 96238 and 96248 is 2.

Also check out the Least Common Multiple of 96238 and 96248