What is the Greatest Common Factor of 80225 and 80238?

Greatest common factor (GCF) of 80225 and 80238 is 1.

GCF(80225,80238) = 1

We will now calculate the prime factors of 80225 and 80238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80225 and 80238.

How to find the GCF of 80225 and 80238?

We will first find the prime factorization of 80225 and 80238. After we will calculate the factors of 80225 and 80238 and find the biggest common factor number .

Step-1: Prime Factorization of 80225

Prime factors of 80225 are 5, 3209. Prime factorization of 80225 in exponential form is:

80225 = 5² × 3209¹

Step-2: Prime Factorization of 80238

Prime factors of 80238 are 2, 3, 43, 311. Prime factorization of 80238 in exponential form is:

80238 = 2¹ × 3¹ × 43¹ × 311¹

Step-3: Factors of 80225

List of positive integer factors of 80225 that divides 80225 without a remainder.

1, 5, 25, 3209, 16045

Step-4: Factors of 80238

List of positive integer factors of 80238 that divides 80225 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 311, 622, 933, 1866, 13373, 26746, 40119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80225 and 80238. The biggest common factor number is the GCF number.
So the greatest common factor 80225 and 80238 is 1.

Also check out the Least Common Multiple of 80225 and 80238