What is the Greatest Common Factor of 80238 and 80258?

Greatest common factor (GCF) of 80238 and 80258 is 2.

GCF(80238,80258) = 2

We will now calculate the prime factors of 80238 and 80258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80238 and 80258.

How to find the GCF of 80238 and 80258?

We will first find the prime factorization of 80238 and 80258. After we will calculate the factors of 80238 and 80258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80258

Prime factors of 80258 are 2, 40129. Prime factorization of 80258 in exponential form is:

80258 = 2¹ × 40129¹

Step-3: Factors of 80238

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

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

Step-4: Factors of 80258

List of positive integer factors of 80258 that divides 80238 without a remainder.

1, 2, 40129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80238 and 80258. The biggest common factor number is the GCF number.
So the greatest common factor 80238 and 80258 is 2.

Also check out the Least Common Multiple of 80238 and 80258