What is the Greatest Common Factor of 55000 and 55006?

Greatest common factor (GCF) of 55000 and 55006 is 2.

GCF(55000,55006) = 2

We will now calculate the prime factors of 55000 and 55006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55000 and 55006.

How to find the GCF of 55000 and 55006?

We will first find the prime factorization of 55000 and 55006. After we will calculate the factors of 55000 and 55006 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55006

Prime factors of 55006 are 2, 7, 3929. Prime factorization of 55006 in exponential form is:

55006 = 2¹ × 7¹ × 3929¹

Step-3: Factors of 55000

List of positive integer factors of 55000 that divides 55000 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

Step-4: Factors of 55006

List of positive integer factors of 55006 that divides 55000 without a remainder.

1, 2, 7, 14, 3929, 7858, 27503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55000 and 55006. The biggest common factor number is the GCF number.
So the greatest common factor 55000 and 55006 is 2.

Also check out the Least Common Multiple of 55000 and 55006