What is the Greatest Common Factor of 54816 and 54832?

Greatest common factor (GCF) of 54816 and 54832 is 16.

GCF(54816,54832) = 16

We will now calculate the prime factors of 54816 and 54832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54816 and 54832.

How to find the GCF of 54816 and 54832?

We will first find the prime factorization of 54816 and 54832. After we will calculate the factors of 54816 and 54832 and find the biggest common factor number .

Step-1: Prime Factorization of 54816

Prime factors of 54816 are 2, 3, 571. Prime factorization of 54816 in exponential form is:

54816 = 2⁵ × 3¹ × 571¹

Step-2: 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-3: Factors of 54816

List of positive integer factors of 54816 that divides 54816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 571, 1142, 1713, 2284, 3426, 4568, 6852, 9136, 13704, 18272, 27408

Step-4: Factors of 54832

List of positive integer factors of 54832 that divides 54816 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54816 and 54832. The biggest common factor number is the GCF number.
So the greatest common factor 54816 and 54832 is 16.

Also check out the Least Common Multiple of 54816 and 54832