What is the Greatest Common Factor of 55228 and 55234?

Greatest common factor (GCF) of 55228 and 55234 is 2.

GCF(55228,55234) = 2

We will now calculate the prime factors of 55228 and 55234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55228 and 55234.

How to find the GCF of 55228 and 55234?

We will first find the prime factorization of 55228 and 55234. After we will calculate the factors of 55228 and 55234 and find the biggest common factor number .

Step-1: Prime Factorization of 55228

Prime factors of 55228 are 2, 13807. Prime factorization of 55228 in exponential form is:

55228 = 2² × 13807¹

Step-2: Prime Factorization of 55234

Prime factors of 55234 are 2, 27617. Prime factorization of 55234 in exponential form is:

55234 = 2¹ × 27617¹

Step-3: Factors of 55228

List of positive integer factors of 55228 that divides 55228 without a remainder.

1, 2, 4, 13807, 27614

Step-4: Factors of 55234

List of positive integer factors of 55234 that divides 55228 without a remainder.

1, 2, 27617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55228 and 55234. The biggest common factor number is the GCF number.
So the greatest common factor 55228 and 55234 is 2.

Also check out the Least Common Multiple of 55228 and 55234