What is the Greatest Common Factor of 54816 and 54824?

Greatest common factor (GCF) of 54816 and 54824 is 8.

GCF(54816,54824) = 8

We will now calculate the prime factors of 54816 and 54824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54816 and 54824.

How to find the GCF of 54816 and 54824?

We will first find the prime factorization of 54816 and 54824. After we will calculate the factors of 54816 and 54824 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 54824

Prime factors of 54824 are 2, 7, 11, 89. Prime factorization of 54824 in exponential form is:

54824 = 2³ × 7¹ × 11¹ × 89¹

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 54824

List of positive integer factors of 54824 that divides 54816 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 89, 154, 178, 308, 356, 616, 623, 712, 979, 1246, 1958, 2492, 3916, 4984, 6853, 7832, 13706, 27412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54816 and 54824. The biggest common factor number is the GCF number.
So the greatest common factor 54816 and 54824 is 8.

Also check out the Least Common Multiple of 54816 and 54824