What is the Greatest Common Factor of 54992 and 55006?

Greatest common factor (GCF) of 54992 and 55006 is 14.

GCF(54992,55006) = 14

We will now calculate the prime factors of 54992 and 55006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54992 and 55006.

How to find the GCF of 54992 and 55006?

We will first find the prime factorization of 54992 and 55006. After we will calculate the factors of 54992 and 55006 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 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 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 55006

List of positive integer factors of 55006 that divides 54992 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54992 and 55006. The biggest common factor number is the GCF number.
So the greatest common factor 54992 and 55006 is 14.

Also check out the Least Common Multiple of 54992 and 55006