What is the Greatest Common Factor of 95980 and 96000?

Greatest common factor (GCF) of 95980 and 96000 is 20.

GCF(95980,96000) = 20

We will now calculate the prime factors of 95980 and 96000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95980 and 96000.

How to find the GCF of 95980 and 96000?

We will first find the prime factorization of 95980 and 96000. After we will calculate the factors of 95980 and 96000 and find the biggest common factor number .

Step-1: Prime Factorization of 95980

Prime factors of 95980 are 2, 5, 4799. Prime factorization of 95980 in exponential form is:

95980 = 2² × 5¹ × 4799¹

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 95980

List of positive integer factors of 95980 that divides 95980 without a remainder.

1, 2, 4, 5, 10, 20, 4799, 9598, 19196, 23995, 47990

Step-4: Factors of 96000

List of positive integer factors of 96000 that divides 95980 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 95980 and 96000. The biggest common factor number is the GCF number.
So the greatest common factor 95980 and 96000 is 20.

Also check out the Least Common Multiple of 95980 and 96000