What is the Greatest Common Factor of 96000 and 96012?

Greatest common factor (GCF) of 96000 and 96012 is 12.

GCF(96000,96012) = 12

We will now calculate the prime factors of 96000 and 96012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96000 and 96012.

How to find the GCF of 96000 and 96012?

We will first find the prime factorization of 96000 and 96012. After we will calculate the factors of 96000 and 96012 and find the biggest common factor number .

Step-1: Prime Factorization of 96000

Prime factors of 96000 are 2, 3, 5. Prime factorization of 96000 in exponential form is:

96000 = 2⁸ × 3¹ × 5³

Step-2: Prime Factorization of 96012

Prime factors of 96012 are 2, 3, 7, 127. Prime factorization of 96012 in exponential form is:

96012 = 2² × 3³ × 7¹ × 127¹

Step-3: Factors of 96000

List of positive integer factors of 96000 that divides 96000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 125, 128, 150, 160, 192, 200, 240, 250, 256, 300, 320, 375, 384, 400, 480, 500, 600, 640, 750, 768, 800, 960, 1000, 1200, 1280, 1500, 1600, 1920, 2000, 2400, 3000, 3200, 3840, 4000, 4800, 6000, 6400, 8000, 9600, 12000, 16000, 19200, 24000, 32000, 48000

Step-4: Factors of 96012

List of positive integer factors of 96012 that divides 96000 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 127, 189, 252, 254, 378, 381, 508, 756, 762, 889, 1143, 1524, 1778, 2286, 2667, 3429, 3556, 4572, 5334, 6858, 8001, 10668, 13716, 16002, 24003, 32004, 48006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96000 and 96012. The biggest common factor number is the GCF number.
So the greatest common factor 96000 and 96012 is 12.

Also check out the Least Common Multiple of 96000 and 96012