What is the Greatest Common Factor of 80219 and 80226?

Greatest common factor (GCF) of 80219 and 80226 is 1.

GCF(80219,80226) = 1

We will now calculate the prime factors of 80219 and 80226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80219 and 80226.

How to find the GCF of 80219 and 80226?

We will first find the prime factorization of 80219 and 80226. After we will calculate the factors of 80219 and 80226 and find the biggest common factor number .

Step-1: Prime Factorization of 80219

Prime factors of 80219 are 97, 827. Prime factorization of 80219 in exponential form is:

80219 = 97¹ × 827¹

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 80219

List of positive integer factors of 80219 that divides 80219 without a remainder.

1, 97, 827

Step-4: Factors of 80226

List of positive integer factors of 80226 that divides 80219 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 80219 and 80226. The biggest common factor number is the GCF number.
So the greatest common factor 80219 and 80226 is 1.

Also check out the Least Common Multiple of 80219 and 80226