What is the Greatest Common Factor of 80176 and 80180?

Greatest common factor (GCF) of 80176 and 80180 is 4.

GCF(80176,80180) = 4

We will now calculate the prime factors of 80176 and 80180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80176 and 80180.

How to find the GCF of 80176 and 80180?

We will first find the prime factorization of 80176 and 80180. After we will calculate the factors of 80176 and 80180 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 80180

Prime factors of 80180 are 2, 5, 19, 211. Prime factorization of 80180 in exponential form is:

80180 = 2² × 5¹ × 19¹ × 211¹

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 80180

List of positive integer factors of 80180 that divides 80176 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 211, 380, 422, 844, 1055, 2110, 4009, 4220, 8018, 16036, 20045, 40090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80176 and 80180. The biggest common factor number is the GCF number.
So the greatest common factor 80176 and 80180 is 4.

Also check out the Least Common Multiple of 80176 and 80180