What is the Greatest Common Factor of 54816 and 54828?

Greatest common factor (GCF) of 54816 and 54828 is 12.

GCF(54816,54828) = 12

We will now calculate the prime factors of 54816 and 54828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54816 and 54828.

How to find the GCF of 54816 and 54828?

We will first find the prime factorization of 54816 and 54828. After we will calculate the factors of 54816 and 54828 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 54828

Prime factors of 54828 are 2, 3, 1523. Prime factorization of 54828 in exponential form is:

54828 = 2² × 3² × 1523¹

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 54828

List of positive integer factors of 54828 that divides 54816 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1523, 3046, 4569, 6092, 9138, 13707, 18276, 27414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54816 and 54828. The biggest common factor number is the GCF number.
So the greatest common factor 54816 and 54828 is 12.

Also check out the Least Common Multiple of 54816 and 54828