What is the Greatest Common Factor of 54984 and 54992?

Greatest common factor (GCF) of 54984 and 54992 is 8.

GCF(54984,54992) = 8

We will now calculate the prime factors of 54984 and 54992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54984 and 54992.

How to find the GCF of 54984 and 54992?

We will first find the prime factorization of 54984 and 54992. After we will calculate the factors of 54984 and 54992 and find the biggest common factor number .

Step-1: Prime Factorization of 54984

Prime factors of 54984 are 2, 3, 29, 79. Prime factorization of 54984 in exponential form is:

54984 = 2³ × 3¹ × 29¹ × 79¹

Step-2: 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-3: Factors of 54984

List of positive integer factors of 54984 that divides 54984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 79, 87, 116, 158, 174, 232, 237, 316, 348, 474, 632, 696, 948, 1896, 2291, 4582, 6873, 9164, 13746, 18328, 27492

Step-4: Factors of 54992

List of positive integer factors of 54992 that divides 54984 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 491, 982, 1964, 3437, 3928, 6874, 7856, 13748, 27496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54984 and 54992. The biggest common factor number is the GCF number.
So the greatest common factor 54984 and 54992 is 8.

Also check out the Least Common Multiple of 54984 and 54992