What is the Greatest Common Factor of 80176 and 80194?

Greatest common factor (GCF) of 80176 and 80194 is 2.

GCF(80176,80194) = 2

We will now calculate the prime factors of 80176 and 80194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80176 and 80194.

How to find the GCF of 80176 and 80194?

We will first find the prime factorization of 80176 and 80194. After we will calculate the factors of 80176 and 80194 and find the biggest common factor number .

Step-1: Prime Factorization of 80176

Prime factors of 80176 are 2, 5011. Prime factorization of 80176 in exponential form is:

80176 = 2⁴ × 5011¹

Step-2: Prime Factorization of 80194

Prime factors of 80194 are 2, 101, 397. Prime factorization of 80194 in exponential form is:

80194 = 2¹ × 101¹ × 397¹

Step-3: Factors of 80176

List of positive integer factors of 80176 that divides 80176 without a remainder.

1, 2, 4, 8, 16, 5011, 10022, 20044, 40088

Step-4: Factors of 80194

List of positive integer factors of 80194 that divides 80176 without a remainder.

1, 2, 101, 202, 397, 794, 40097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80176 and 80194. The biggest common factor number is the GCF number.
So the greatest common factor 80176 and 80194 is 2.

Also check out the Least Common Multiple of 80176 and 80194