What is the Greatest Common Factor of 96480 and 96496?

Greatest common factor (GCF) of 96480 and 96496 is 16.

GCF(96480,96496) = 16

We will now calculate the prime factors of 96480 and 96496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96480 and 96496.

How to find the GCF of 96480 and 96496?

We will first find the prime factorization of 96480 and 96496. After we will calculate the factors of 96480 and 96496 and find the biggest common factor number .

Step-1: Prime Factorization of 96480

Prime factors of 96480 are 2, 3, 5, 67. Prime factorization of 96480 in exponential form is:

96480 = 2⁵ × 3² × 5¹ × 67¹

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 96480

List of positive integer factors of 96480 that divides 96480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 67, 72, 80, 90, 96, 120, 134, 144, 160, 180, 201, 240, 268, 288, 335, 360, 402, 480, 536, 603, 670, 720, 804, 1005, 1072, 1206, 1340, 1440, 1608, 2010, 2144, 2412, 2680, 3015, 3216, 4020, 4824, 5360, 6030, 6432, 8040, 9648, 10720, 12060, 16080, 19296, 24120, 32160, 48240

Step-4: Factors of 96496

List of positive integer factors of 96496 that divides 96480 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 96480 and 96496. The biggest common factor number is the GCF number.
So the greatest common factor 96480 and 96496 is 16.

Also check out the Least Common Multiple of 96480 and 96496