What is the Greatest Common Factor of 54999 and 55006?

Greatest common factor (GCF) of 54999 and 55006 is 7.

GCF(54999,55006) = 7

We will now calculate the prime factors of 54999 and 55006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54999 and 55006.

How to find the GCF of 54999 and 55006?

We will first find the prime factorization of 54999 and 55006. After we will calculate the factors of 54999 and 55006 and find the biggest common factor number .

Step-1: Prime Factorization of 54999

Prime factors of 54999 are 3, 7, 97. Prime factorization of 54999 in exponential form is:

54999 = 3⁴ × 7¹ × 97¹

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 54999

List of positive integer factors of 54999 that divides 54999 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 97, 189, 291, 567, 679, 873, 2037, 2619, 6111, 7857, 18333

Step-4: Factors of 55006

List of positive integer factors of 55006 that divides 54999 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54999 and 55006. The biggest common factor number is the GCF number.
So the greatest common factor 54999 and 55006 is 7.

Also check out the Least Common Multiple of 54999 and 55006