What is the Greatest Common Factor of 54992 and 55012?

Greatest common factor (GCF) of 54992 and 55012 is 4.

GCF(54992,55012) = 4

We will now calculate the prime factors of 54992 and 55012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54992 and 55012.

How to find the GCF of 54992 and 55012?

We will first find the prime factorization of 54992 and 55012. After we will calculate the factors of 54992 and 55012 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 55012

Prime factors of 55012 are 2, 17, 809. Prime factorization of 55012 in exponential form is:

55012 = 2² × 17¹ × 809¹

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 55012

List of positive integer factors of 55012 that divides 54992 without a remainder.

1, 2, 4, 17, 34, 68, 809, 1618, 3236, 13753, 27506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54992 and 55012. The biggest common factor number is the GCF number.
So the greatest common factor 54992 and 55012 is 4.

Also check out the Least Common Multiple of 54992 and 55012