What is the Greatest Common Factor of 55984 and 56000?

Greatest common factor (GCF) of 55984 and 56000 is 16.

GCF(55984,56000) = 16

We will now calculate the prime factors of 55984 and 56000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55984 and 56000.

How to find the GCF of 55984 and 56000?

We will first find the prime factorization of 55984 and 56000. After we will calculate the factors of 55984 and 56000 and find the biggest common factor number .

Step-1: Prime Factorization of 55984

Prime factors of 55984 are 2, 3499. Prime factorization of 55984 in exponential form is:

55984 = 2⁴ × 3499¹

Step-2: Prime Factorization of 56000

Prime factors of 56000 are 2, 5, 7. Prime factorization of 56000 in exponential form is:

56000 = 2⁶ × 5³ × 7¹

Step-3: Factors of 55984

List of positive integer factors of 55984 that divides 55984 without a remainder.

1, 2, 4, 8, 16, 3499, 6998, 13996, 27992

Step-4: Factors of 56000

List of positive integer factors of 56000 that divides 55984 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 64, 70, 80, 100, 112, 125, 140, 160, 175, 200, 224, 250, 280, 320, 350, 400, 448, 500, 560, 700, 800, 875, 1000, 1120, 1400, 1600, 1750, 2000, 2240, 2800, 3500, 4000, 5600, 7000, 8000, 11200, 14000, 28000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55984 and 56000. The biggest common factor number is the GCF number.
So the greatest common factor 55984 and 56000 is 16.

Also check out the Least Common Multiple of 55984 and 56000