What is the Greatest Common Factor of 55338 and 55346?

Greatest common factor (GCF) of 55338 and 55346 is 2.

GCF(55338,55346) = 2

We will now calculate the prime factors of 55338 and 55346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55338 and 55346.

How to find the GCF of 55338 and 55346?

We will first find the prime factorization of 55338 and 55346. After we will calculate the factors of 55338 and 55346 and find the biggest common factor number .

Step-1: Prime Factorization of 55338

Prime factors of 55338 are 2, 3, 23, 401. Prime factorization of 55338 in exponential form is:

55338 = 2¹ × 3¹ × 23¹ × 401¹

Step-2: Prime Factorization of 55346

Prime factors of 55346 are 2, 27673. Prime factorization of 55346 in exponential form is:

55346 = 2¹ × 27673¹

Step-3: Factors of 55338

List of positive integer factors of 55338 that divides 55338 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 401, 802, 1203, 2406, 9223, 18446, 27669

Step-4: Factors of 55346

List of positive integer factors of 55346 that divides 55338 without a remainder.

1, 2, 27673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55338 and 55346. The biggest common factor number is the GCF number.
So the greatest common factor 55338 and 55346 is 2.

Also check out the Least Common Multiple of 55338 and 55346