What is the Greatest Common Factor of 96226 and 96232?

Greatest common factor (GCF) of 96226 and 96232 is 2.

GCF(96226,96232) = 2

We will now calculate the prime factors of 96226 and 96232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96226 and 96232.

How to find the GCF of 96226 and 96232?

We will first find the prime factorization of 96226 and 96232. After we will calculate the factors of 96226 and 96232 and find the biggest common factor number .

Step-1: Prime Factorization of 96226

Prime factors of 96226 are 2, 13, 3701. Prime factorization of 96226 in exponential form is:

96226 = 2¹ × 13¹ × 3701¹

Step-2: Prime Factorization of 96232

Prime factors of 96232 are 2, 23, 523. Prime factorization of 96232 in exponential form is:

96232 = 2³ × 23¹ × 523¹

Step-3: Factors of 96226

List of positive integer factors of 96226 that divides 96226 without a remainder.

1, 2, 13, 26, 3701, 7402, 48113

Step-4: Factors of 96232

List of positive integer factors of 96232 that divides 96226 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 523, 1046, 2092, 4184, 12029, 24058, 48116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96226 and 96232. The biggest common factor number is the GCF number.
So the greatest common factor 96226 and 96232 is 2.

Also check out the Least Common Multiple of 96226 and 96232