What is the Greatest Common Factor of 54816 and 54822?

Greatest common factor (GCF) of 54816 and 54822 is 6.

GCF(54816,54822) = 6

We will now calculate the prime factors of 54816 and 54822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54816 and 54822.

How to find the GCF of 54816 and 54822?

We will first find the prime factorization of 54816 and 54822. After we will calculate the factors of 54816 and 54822 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 54822

Prime factors of 54822 are 2, 3, 9137. Prime factorization of 54822 in exponential form is:

54822 = 2¹ × 3¹ × 9137¹

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 54822

List of positive integer factors of 54822 that divides 54816 without a remainder.

1, 2, 3, 6, 9137, 18274, 27411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54816 and 54822. The biggest common factor number is the GCF number.
So the greatest common factor 54816 and 54822 is 6.

Also check out the Least Common Multiple of 54816 and 54822