What is the Greatest Common Factor of 54208 and 54216?

Greatest common factor (GCF) of 54208 and 54216 is 8.

GCF(54208,54216) = 8

We will now calculate the prime factors of 54208 and 54216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54208 and 54216.

How to find the GCF of 54208 and 54216?

We will first find the prime factorization of 54208 and 54216. After we will calculate the factors of 54208 and 54216 and find the biggest common factor number .

Step-1: Prime Factorization of 54208

Prime factors of 54208 are 2, 7, 11. Prime factorization of 54208 in exponential form is:

54208 = 2⁶ × 7¹ × 11²

Step-2: Prime Factorization of 54216

Prime factors of 54216 are 2, 3, 251. Prime factorization of 54216 in exponential form is:

54216 = 2³ × 3³ × 251¹

Step-3: Factors of 54208

List of positive integer factors of 54208 that divides 54208 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 121, 154, 176, 224, 242, 308, 352, 448, 484, 616, 704, 847, 968, 1232, 1694, 1936, 2464, 3388, 3872, 4928, 6776, 7744, 13552, 27104

Step-4: Factors of 54216

List of positive integer factors of 54216 that divides 54208 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 251, 502, 753, 1004, 1506, 2008, 2259, 3012, 4518, 6024, 6777, 9036, 13554, 18072, 27108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54208 and 54216. The biggest common factor number is the GCF number.
So the greatest common factor 54208 and 54216 is 8.

Also check out the Least Common Multiple of 54208 and 54216