What is the Greatest Common Factor of 28228 and 28234?

Greatest common factor (GCF) of 28228 and 28234 is 2.

GCF(28228,28234) = 2

We will now calculate the prime factors of 28228 and 28234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28228 and 28234.

How to find the GCF of 28228 and 28234?

We will first find the prime factorization of 28228 and 28234. After we will calculate the factors of 28228 and 28234 and find the biggest common factor number .

Step-1: Prime Factorization of 28228

Prime factors of 28228 are 2, 7057. Prime factorization of 28228 in exponential form is:

28228 = 2² × 7057¹

Step-2: Prime Factorization of 28234

Prime factors of 28234 are 2, 19, 743. Prime factorization of 28234 in exponential form is:

28234 = 2¹ × 19¹ × 743¹

Step-3: Factors of 28228

List of positive integer factors of 28228 that divides 28228 without a remainder.

1, 2, 4, 7057, 14114

Step-4: Factors of 28234

List of positive integer factors of 28234 that divides 28228 without a remainder.

1, 2, 19, 38, 743, 1486, 14117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28228 and 28234. The biggest common factor number is the GCF number.
So the greatest common factor 28228 and 28234 is 2.

Also check out the Least Common Multiple of 28228 and 28234