What is the Greatest Common Factor of 96465 and 96480?

Greatest common factor (GCF) of 96465 and 96480 is 15.

GCF(96465,96480) = 15

We will now calculate the prime factors of 96465 and 96480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96465 and 96480.

How to find the GCF of 96465 and 96480?

We will first find the prime factorization of 96465 and 96480. After we will calculate the factors of 96465 and 96480 and find the biggest common factor number .

Step-1: Prime Factorization of 96465

Prime factors of 96465 are 3, 5, 59, 109. Prime factorization of 96465 in exponential form is:

96465 = 3¹ × 5¹ × 59¹ × 109¹

Step-2: 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-3: Factors of 96465

List of positive integer factors of 96465 that divides 96465 without a remainder.

1, 3, 5, 15, 59, 109, 177, 295, 327, 545, 885, 1635, 6431, 19293, 32155

Step-4: Factors of 96480

List of positive integer factors of 96480 that divides 96465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96465 and 96480. The biggest common factor number is the GCF number.
So the greatest common factor 96465 and 96480 is 15.

Also check out the Least Common Multiple of 96465 and 96480