What is the Greatest Common Factor of 54832 and 54848?

Greatest common factor (GCF) of 54832 and 54848 is 16.

GCF(54832,54848) = 16

We will now calculate the prime factors of 54832 and 54848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54832 and 54848.

How to find the GCF of 54832 and 54848?

We will first find the prime factorization of 54832 and 54848. After we will calculate the factors of 54832 and 54848 and find the biggest common factor number .

Step-1: Prime Factorization of 54832

Prime factors of 54832 are 2, 23, 149. Prime factorization of 54832 in exponential form is:

54832 = 2⁴ × 23¹ × 149¹

Step-2: Prime Factorization of 54848

Prime factors of 54848 are 2, 857. Prime factorization of 54848 in exponential form is:

54848 = 2⁶ × 857¹

Step-3: Factors of 54832

List of positive integer factors of 54832 that divides 54832 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 149, 184, 298, 368, 596, 1192, 2384, 3427, 6854, 13708, 27416

Step-4: Factors of 54848

List of positive integer factors of 54848 that divides 54832 without a remainder.

1, 2, 4, 8, 16, 32, 64, 857, 1714, 3428, 6856, 13712, 27424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54832 and 54848. The biggest common factor number is the GCF number.
So the greatest common factor 54832 and 54848 is 16.

Also check out the Least Common Multiple of 54832 and 54848