What is the Greatest Common Factor of 54812 and 54816?

Greatest common factor (GCF) of 54812 and 54816 is 4.

GCF(54812,54816) = 4

We will now calculate the prime factors of 54812 and 54816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54812 and 54816.

How to find the GCF of 54812 and 54816?

We will first find the prime factorization of 54812 and 54816. After we will calculate the factors of 54812 and 54816 and find the biggest common factor number .

Step-1: Prime Factorization of 54812

Prime factors of 54812 are 2, 71, 193. Prime factorization of 54812 in exponential form is:

54812 = 2² × 71¹ × 193¹

Step-2: 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-3: Factors of 54812

List of positive integer factors of 54812 that divides 54812 without a remainder.

1, 2, 4, 71, 142, 193, 284, 386, 772, 13703, 27406

Step-4: Factors of 54816

List of positive integer factors of 54816 that divides 54812 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54812 and 54816. The biggest common factor number is the GCF number.
So the greatest common factor 54812 and 54816 is 4.

Also check out the Least Common Multiple of 54812 and 54816