What is the Greatest Common Factor of 80218 and 80222?

Greatest common factor (GCF) of 80218 and 80222 is 2.

GCF(80218,80222) = 2

We will now calculate the prime factors of 80218 and 80222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80218 and 80222.

How to find the GCF of 80218 and 80222?

We will first find the prime factorization of 80218 and 80222. After we will calculate the factors of 80218 and 80222 and find the biggest common factor number .

Step-1: Prime Factorization of 80218

Prime factors of 80218 are 2, 19, 2111. Prime factorization of 80218 in exponential form is:

80218 = 2¹ × 19¹ × 2111¹

Step-2: Prime Factorization of 80222

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

80222 = 2¹ × 40111¹

Step-3: Factors of 80218

List of positive integer factors of 80218 that divides 80218 without a remainder.

1, 2, 19, 38, 2111, 4222, 40109

Step-4: Factors of 80222

List of positive integer factors of 80222 that divides 80218 without a remainder.

1, 2, 40111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80218 and 80222. The biggest common factor number is the GCF number.
So the greatest common factor 80218 and 80222 is 2.

Also check out the Least Common Multiple of 80218 and 80222