What is the Greatest Common Factor of 96492 and 96496?

Greatest common factor (GCF) of 96492 and 96496 is 4.

GCF(96492,96496) = 4

We will now calculate the prime factors of 96492 and 96496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96492 and 96496.

How to find the GCF of 96492 and 96496?

We will first find the prime factorization of 96492 and 96496. After we will calculate the factors of 96492 and 96496 and find the biggest common factor number .

Step-1: Prime Factorization of 96492

Prime factors of 96492 are 2, 3, 11, 17, 43. Prime factorization of 96492 in exponential form is:

96492 = 2² × 3¹ × 11¹ × 17¹ × 43¹

Step-2: 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-3: Factors of 96492

List of positive integer factors of 96492 that divides 96492 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 43, 44, 51, 66, 68, 86, 102, 129, 132, 172, 187, 204, 258, 374, 473, 516, 561, 731, 748, 946, 1122, 1419, 1462, 1892, 2193, 2244, 2838, 2924, 4386, 5676, 8041, 8772, 16082, 24123, 32164, 48246

Step-4: Factors of 96496

List of positive integer factors of 96496 that divides 96492 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96492 and 96496. The biggest common factor number is the GCF number.
So the greatest common factor 96492 and 96496 is 4.

Also check out the Least Common Multiple of 96492 and 96496