What is the Greatest Common Factor of 28222 and 28226?

Greatest common factor (GCF) of 28222 and 28226 is 2.

GCF(28222,28226) = 2

We will now calculate the prime factors of 28222 and 28226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28222 and 28226.

How to find the GCF of 28222 and 28226?

We will first find the prime factorization of 28222 and 28226. After we will calculate the factors of 28222 and 28226 and find the biggest common factor number .

Step-1: Prime Factorization of 28222

Prime factors of 28222 are 2, 103, 137. Prime factorization of 28222 in exponential form is:

28222 = 2¹ × 103¹ × 137¹

Step-2: Prime Factorization of 28226

Prime factors of 28226 are 2, 11, 1283. Prime factorization of 28226 in exponential form is:

28226 = 2¹ × 11¹ × 1283¹

Step-3: Factors of 28222

List of positive integer factors of 28222 that divides 28222 without a remainder.

1, 2, 103, 137, 206, 274, 14111

Step-4: Factors of 28226

List of positive integer factors of 28226 that divides 28222 without a remainder.

1, 2, 11, 22, 1283, 2566, 14113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28222 and 28226. The biggest common factor number is the GCF number.
So the greatest common factor 28222 and 28226 is 2.

Also check out the Least Common Multiple of 28222 and 28226