What is the Greatest Common Factor of 54197 and 54208?

Greatest common factor (GCF) of 54197 and 54208 is 11.

GCF(54197,54208) = 11

We will now calculate the prime factors of 54197 and 54208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54197 and 54208.

How to find the GCF of 54197 and 54208?

We will first find the prime factorization of 54197 and 54208. After we will calculate the factors of 54197 and 54208 and find the biggest common factor number .

Step-1: Prime Factorization of 54197

Prime factors of 54197 are 11, 13, 379. Prime factorization of 54197 in exponential form is:

54197 = 11¹ × 13¹ × 379¹

Step-2: 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-3: Factors of 54197

List of positive integer factors of 54197 that divides 54197 without a remainder.

1, 11, 13, 143, 379, 4169, 4927

Step-4: Factors of 54208

List of positive integer factors of 54208 that divides 54197 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54197 and 54208. The biggest common factor number is the GCF number.
So the greatest common factor 54197 and 54208 is 11.

Also check out the Least Common Multiple of 54197 and 54208