What is the Greatest Common Factor of 96508 and 96526?

Greatest common factor (GCF) of 96508 and 96526 is 2.

GCF(96508,96526) = 2

We will now calculate the prime factors of 96508 and 96526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96508 and 96526.

How to find the GCF of 96508 and 96526?

We will first find the prime factorization of 96508 and 96526. After we will calculate the factors of 96508 and 96526 and find the biggest common factor number .

Step-1: Prime Factorization of 96508

Prime factors of 96508 are 2, 23, 1049. Prime factorization of 96508 in exponential form is:

96508 = 2² × 23¹ × 1049¹

Step-2: Prime Factorization of 96526

Prime factors of 96526 are 2, 17, 167. Prime factorization of 96526 in exponential form is:

96526 = 2¹ × 17² × 167¹

Step-3: Factors of 96508

List of positive integer factors of 96508 that divides 96508 without a remainder.

1, 2, 4, 23, 46, 92, 1049, 2098, 4196, 24127, 48254

Step-4: Factors of 96526

List of positive integer factors of 96526 that divides 96508 without a remainder.

1, 2, 17, 34, 167, 289, 334, 578, 2839, 5678, 48263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96508 and 96526. The biggest common factor number is the GCF number.
So the greatest common factor 96508 and 96526 is 2.

Also check out the Least Common Multiple of 96508 and 96526