What is the Greatest Common Factor of 24000 and 24016?

Greatest common factor (GCF) of 24000 and 24016 is 16.

GCF(24000,24016) = 16

We will now calculate the prime factors of 24000 and 24016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24000 and 24016.

How to find the GCF of 24000 and 24016?

We will first find the prime factorization of 24000 and 24016. After we will calculate the factors of 24000 and 24016 and find the biggest common factor number .

Step-1: Prime Factorization of 24000

Prime factors of 24000 are 2, 3, 5. Prime factorization of 24000 in exponential form is:

24000 = 2⁶ × 3¹ × 5³

Step-2: Prime Factorization of 24016

Prime factors of 24016 are 2, 19, 79. Prime factorization of 24016 in exponential form is:

24016 = 2⁴ × 19¹ × 79¹

Step-3: Factors of 24000

List of positive integer factors of 24000 that divides 24000 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, 150, 160, 192, 200, 240, 250, 300, 320, 375, 400, 480, 500, 600, 750, 800, 960, 1000, 1200, 1500, 1600, 2000, 2400, 3000, 4000, 4800, 6000, 8000, 12000

Step-4: Factors of 24016

List of positive integer factors of 24016 that divides 24000 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 79, 152, 158, 304, 316, 632, 1264, 1501, 3002, 6004, 12008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24000 and 24016. The biggest common factor number is the GCF number.
So the greatest common factor 24000 and 24016 is 16.

Also check out the Least Common Multiple of 24000 and 24016