What is the Greatest Common Factor of 95990 and 96000?

Greatest common factor (GCF) of 95990 and 96000 is 10.

GCF(95990,96000) = 10

We will now calculate the prime factors of 95990 and 96000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95990 and 96000.

How to find the GCF of 95990 and 96000?

We will first find the prime factorization of 95990 and 96000. After we will calculate the factors of 95990 and 96000 and find the biggest common factor number .

Step-1: Prime Factorization of 95990

Prime factors of 95990 are 2, 5, 29, 331. Prime factorization of 95990 in exponential form is:

95990 = 2¹ × 5¹ × 29¹ × 331¹

Step-2: 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-3: Factors of 95990

List of positive integer factors of 95990 that divides 95990 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 331, 662, 1655, 3310, 9599, 19198, 47995

Step-4: Factors of 96000

List of positive integer factors of 96000 that divides 95990 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95990 and 96000. The biggest common factor number is the GCF number.
So the greatest common factor 95990 and 96000 is 10.

Also check out the Least Common Multiple of 95990 and 96000