What is the Greatest Common Factor of 54394 and 54404?

Greatest common factor (GCF) of 54394 and 54404 is 2.

GCF(54394,54404) = 2

We will now calculate the prime factors of 54394 and 54404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54394 and 54404.

How to find the GCF of 54394 and 54404?

We will first find the prime factorization of 54394 and 54404. After we will calculate the factors of 54394 and 54404 and find the biggest common factor number .

Step-1: Prime Factorization of 54394

Prime factors of 54394 are 2, 27197. Prime factorization of 54394 in exponential form is:

54394 = 2¹ × 27197¹

Step-2: Prime Factorization of 54404

Prime factors of 54404 are 2, 7, 29, 67. Prime factorization of 54404 in exponential form is:

54404 = 2² × 7¹ × 29¹ × 67¹

Step-3: Factors of 54394

List of positive integer factors of 54394 that divides 54394 without a remainder.

1, 2, 27197

Step-4: Factors of 54404

List of positive integer factors of 54404 that divides 54394 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 67, 116, 134, 203, 268, 406, 469, 812, 938, 1876, 1943, 3886, 7772, 13601, 27202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54394 and 54404. The biggest common factor number is the GCF number.
So the greatest common factor 54394 and 54404 is 2.

Also check out the Least Common Multiple of 54394 and 54404