What is the Greatest Common Factor of 54208 and 54214?

Greatest common factor (GCF) of 54208 and 54214 is 2.

GCF(54208,54214) = 2

We will now calculate the prime factors of 54208 and 54214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54208 and 54214.

How to find the GCF of 54208 and 54214?

We will first find the prime factorization of 54208 and 54214. After we will calculate the factors of 54208 and 54214 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 54214

Prime factors of 54214 are 2, 27107. Prime factorization of 54214 in exponential form is:

54214 = 2¹ × 27107¹

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 54214

List of positive integer factors of 54214 that divides 54208 without a remainder.

1, 2, 27107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54208 and 54214. The biggest common factor number is the GCF number.
So the greatest common factor 54208 and 54214 is 2.

Also check out the Least Common Multiple of 54208 and 54214