What is the Greatest Common Factor of 54208 and 54223?

Greatest common factor (GCF) of 54208 and 54223 is 1.

GCF(54208,54223) = 1

We will now calculate the prime factors of 54208 and 54223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54208 and 54223.

How to find the GCF of 54208 and 54223?

We will first find the prime factorization of 54208 and 54223. After we will calculate the factors of 54208 and 54223 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 54223

Prime factors of 54223 are 13, 43, 97. Prime factorization of 54223 in exponential form is:

54223 = 13¹ × 43¹ × 97¹

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 54223

List of positive integer factors of 54223 that divides 54208 without a remainder.

1, 13, 43, 97, 559, 1261, 4171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54208 and 54223. The biggest common factor number is the GCF number.
So the greatest common factor 54208 and 54223 is 1.

Also check out the Least Common Multiple of 54208 and 54223