What is the Greatest Common Factor of 93238 and 93248?

Greatest common factor (GCF) of 93238 and 93248 is 2.

GCF(93238,93248) = 2

We will now calculate the prime factors of 93238 and 93248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93238 and 93248.

How to find the GCF of 93238 and 93248?

We will first find the prime factorization of 93238 and 93248. After we will calculate the factors of 93238 and 93248 and find the biggest common factor number .

Step-1: Prime Factorization of 93238

Prime factors of 93238 are 2, 46619. Prime factorization of 93238 in exponential form is:

93238 = 2¹ × 46619¹

Step-2: Prime Factorization of 93248

Prime factors of 93248 are 2, 31, 47. Prime factorization of 93248 in exponential form is:

93248 = 2⁶ × 31¹ × 47¹

Step-3: Factors of 93238

List of positive integer factors of 93238 that divides 93238 without a remainder.

1, 2, 46619

Step-4: Factors of 93248

List of positive integer factors of 93248 that divides 93238 without a remainder.

1, 2, 4, 8, 16, 31, 32, 47, 62, 64, 94, 124, 188, 248, 376, 496, 752, 992, 1457, 1504, 1984, 2914, 3008, 5828, 11656, 23312, 46624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93238 and 93248. The biggest common factor number is the GCF number.
So the greatest common factor 93238 and 93248 is 2.

Also check out the Least Common Multiple of 93238 and 93248