What is the Greatest Common Factor of 55358 and 55378?

Greatest common factor (GCF) of 55358 and 55378 is 2.

GCF(55358,55378) = 2

We will now calculate the prime factors of 55358 and 55378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55358 and 55378.

How to find the GCF of 55358 and 55378?

We will first find the prime factorization of 55358 and 55378. After we will calculate the factors of 55358 and 55378 and find the biggest common factor number .

Step-1: Prime Factorization of 55358

Prime factors of 55358 are 2, 89, 311. Prime factorization of 55358 in exponential form is:

55358 = 2¹ × 89¹ × 311¹

Step-2: Prime Factorization of 55378

Prime factors of 55378 are 2, 27689. Prime factorization of 55378 in exponential form is:

55378 = 2¹ × 27689¹

Step-3: Factors of 55358

List of positive integer factors of 55358 that divides 55358 without a remainder.

1, 2, 89, 178, 311, 622, 27679

Step-4: Factors of 55378

List of positive integer factors of 55378 that divides 55358 without a remainder.

1, 2, 27689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55358 and 55378. The biggest common factor number is the GCF number.
So the greatest common factor 55358 and 55378 is 2.

Also check out the Least Common Multiple of 55358 and 55378