What is the Greatest Common Factor of 96480 and 96498?

Greatest common factor (GCF) of 96480 and 96498 is 18.

GCF(96480,96498) = 18

We will now calculate the prime factors of 96480 and 96498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96480 and 96498.

How to find the GCF of 96480 and 96498?

We will first find the prime factorization of 96480 and 96498. After we will calculate the factors of 96480 and 96498 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 96498

Prime factors of 96498 are 2, 3, 1787. Prime factorization of 96498 in exponential form is:

96498 = 2¹ × 3³ × 1787¹

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 96498

List of positive integer factors of 96498 that divides 96480 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1787, 3574, 5361, 10722, 16083, 32166, 48249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96480 and 96498. The biggest common factor number is the GCF number.
So the greatest common factor 96480 and 96498 is 18.

Also check out the Least Common Multiple of 96480 and 96498