What is the Greatest Common Factor of 54989 and 55000?

Greatest common factor (GCF) of 54989 and 55000 is 11.

GCF(54989,55000) = 11

We will now calculate the prime factors of 54989 and 55000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54989 and 55000.

How to find the GCF of 54989 and 55000?

We will first find the prime factorization of 54989 and 55000. After we will calculate the factors of 54989 and 55000 and find the biggest common factor number .

Step-1: Prime Factorization of 54989

Prime factors of 54989 are 11, 4999. Prime factorization of 54989 in exponential form is:

54989 = 11¹ × 4999¹

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 54989

List of positive integer factors of 54989 that divides 54989 without a remainder.

1, 11, 4999

Step-4: Factors of 55000

List of positive integer factors of 55000 that divides 54989 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 54989 and 55000. The biggest common factor number is the GCF number.
So the greatest common factor 54989 and 55000 is 11.

Also check out the Least Common Multiple of 54989 and 55000