What is the Greatest Common Factor of 96496 and 96508?

Greatest common factor (GCF) of 96496 and 96508 is 4.

GCF(96496,96508) = 4

We will now calculate the prime factors of 96496 and 96508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96496 and 96508.

How to find the GCF of 96496 and 96508?

We will first find the prime factorization of 96496 and 96508. After we will calculate the factors of 96496 and 96508 and find the biggest common factor number .

Step-1: Prime Factorization of 96496

Prime factors of 96496 are 2, 37, 163. Prime factorization of 96496 in exponential form is:

96496 = 2⁴ × 37¹ × 163¹

Step-2: 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-3: Factors of 96496

List of positive integer factors of 96496 that divides 96496 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 163, 296, 326, 592, 652, 1304, 2608, 6031, 12062, 24124, 48248

Step-4: Factors of 96508

List of positive integer factors of 96508 that divides 96496 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96496 and 96508. The biggest common factor number is the GCF number.
So the greatest common factor 96496 and 96508 is 4.

Also check out the Least Common Multiple of 96496 and 96508