What is the Greatest Common Factor of 55393 and 55406?

Greatest common factor (GCF) of 55393 and 55406 is 13.

GCF(55393,55406) = 13

We will now calculate the prime factors of 55393 and 55406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55393 and 55406.

How to find the GCF of 55393 and 55406?

We will first find the prime factorization of 55393 and 55406. After we will calculate the factors of 55393 and 55406 and find the biggest common factor number .

Step-1: Prime Factorization of 55393

Prime factors of 55393 are 13, 4261. Prime factorization of 55393 in exponential form is:

55393 = 13¹ × 4261¹

Step-2: Prime Factorization of 55406

Prime factors of 55406 are 2, 13, 2131. Prime factorization of 55406 in exponential form is:

55406 = 2¹ × 13¹ × 2131¹

Step-3: Factors of 55393

List of positive integer factors of 55393 that divides 55393 without a remainder.

1, 13, 4261

Step-4: Factors of 55406

List of positive integer factors of 55406 that divides 55393 without a remainder.

1, 2, 13, 26, 2131, 4262, 27703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55393 and 55406. The biggest common factor number is the GCF number.
So the greatest common factor 55393 and 55406 is 13.

Also check out the Least Common Multiple of 55393 and 55406