What is the Greatest Common Factor of 54981 and 55000?

Greatest common factor (GCF) of 54981 and 55000 is 1.

GCF(54981,55000) = 1

We will now calculate the prime factors of 54981 and 55000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54981 and 55000.

How to find the GCF of 54981 and 55000?

We will first find the prime factorization of 54981 and 55000. After we will calculate the factors of 54981 and 55000 and find the biggest common factor number .

Step-1: Prime Factorization of 54981

Prime factors of 54981 are 3, 41, 149. Prime factorization of 54981 in exponential form is:

54981 = 3² × 41¹ × 149¹

Step-2: Prime Factorization of 55000

Prime factors of 55000 are 2, 5, 11. Prime factorization of 55000 in exponential form is:

55000 = 2³ × 5⁴ × 11¹

Step-3: Factors of 54981

List of positive integer factors of 54981 that divides 54981 without a remainder.

1, 3, 9, 41, 123, 149, 369, 447, 1341, 6109, 18327

Step-4: Factors of 55000

List of positive integer factors of 55000 that divides 54981 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 200, 220, 250, 275, 440, 500, 550, 625, 1000, 1100, 1250, 1375, 2200, 2500, 2750, 5000, 5500, 6875, 11000, 13750, 27500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54981 and 55000. The biggest common factor number is the GCF number.
So the greatest common factor 54981 and 55000 is 1.

Also check out the Least Common Multiple of 54981 and 55000