What is the Greatest Common Factor of 80222 and 80226?

Greatest common factor (GCF) of 80222 and 80226 is 2.

GCF(80222,80226) = 2

We will now calculate the prime factors of 80222 and 80226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80222 and 80226.

How to find the GCF of 80222 and 80226?

We will first find the prime factorization of 80222 and 80226. After we will calculate the factors of 80222 and 80226 and find the biggest common factor number .

Step-1: Prime Factorization of 80222

Prime factors of 80222 are 2, 40111. Prime factorization of 80222 in exponential form is:

80222 = 2¹ × 40111¹

Step-2: Prime Factorization of 80226

Prime factors of 80226 are 2, 3, 4457. Prime factorization of 80226 in exponential form is:

80226 = 2¹ × 3² × 4457¹

Step-3: Factors of 80222

List of positive integer factors of 80222 that divides 80222 without a remainder.

1, 2, 40111

Step-4: Factors of 80226

List of positive integer factors of 80226 that divides 80222 without a remainder.

1, 2, 3, 6, 9, 18, 4457, 8914, 13371, 26742, 40113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80222 and 80226. The biggest common factor number is the GCF number.
So the greatest common factor 80222 and 80226 is 2.

Also check out the Least Common Multiple of 80222 and 80226