What is the Greatest Common Factor of 54992 and 55008?

Greatest common factor (GCF) of 54992 and 55008 is 16.

GCF(54992,55008) = 16

We will now calculate the prime factors of 54992 and 55008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54992 and 55008.

How to find the GCF of 54992 and 55008?

We will first find the prime factorization of 54992 and 55008. After we will calculate the factors of 54992 and 55008 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 55008

Prime factors of 55008 are 2, 3, 191. Prime factorization of 55008 in exponential form is:

55008 = 2⁵ × 3² × 191¹

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 55008

List of positive integer factors of 55008 that divides 54992 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 191, 288, 382, 573, 764, 1146, 1528, 1719, 2292, 3056, 3438, 4584, 6112, 6876, 9168, 13752, 18336, 27504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54992 and 55008. The biggest common factor number is the GCF number.
So the greatest common factor 54992 and 55008 is 16.

Also check out the Least Common Multiple of 54992 and 55008