What is the Greatest Common Factor of 54816 and 54827?

Greatest common factor (GCF) of 54816 and 54827 is 1.

GCF(54816,54827) = 1

We will now calculate the prime factors of 54816 and 54827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54816 and 54827.

How to find the GCF of 54816 and 54827?

We will first find the prime factorization of 54816 and 54827. After we will calculate the factors of 54816 and 54827 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 54827

Prime factors of 54827 are 109, 503. Prime factorization of 54827 in exponential form is:

54827 = 109¹ × 503¹

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 54827

List of positive integer factors of 54827 that divides 54816 without a remainder.

1, 109, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54816 and 54827. The biggest common factor number is the GCF number.
So the greatest common factor 54816 and 54827 is 1.

Also check out the Least Common Multiple of 54816 and 54827