What is the Greatest Common Factor of 54992 and 55000?

Greatest common factor (GCF) of 54992 and 55000 is 8.

GCF(54992,55000) = 8

We will now calculate the prime factors of 54992 and 55000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54992 and 55000.

How to find the GCF of 54992 and 55000?

We will first find the prime factorization of 54992 and 55000. After we will calculate the factors of 54992 and 55000 and find the biggest common factor number .

Step-1: Prime Factorization of 54992

Prime factors of 54992 are 2, 7, 491. Prime factorization of 54992 in exponential form is:

54992 = 2⁴ × 7¹ × 491¹

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 54992

List of positive integer factors of 54992 that divides 54992 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 491, 982, 1964, 3437, 3928, 6874, 7856, 13748, 27496

Step-4: Factors of 55000

List of positive integer factors of 55000 that divides 54992 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 54992 and 55000. The biggest common factor number is the GCF number.
So the greatest common factor 54992 and 55000 is 8.

Also check out the Least Common Multiple of 54992 and 55000