What is the Greatest Common Factor of 80175 and 80184?

Greatest common factor (GCF) of 80175 and 80184 is 3.

GCF(80175,80184) = 3

We will now calculate the prime factors of 80175 and 80184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80175 and 80184.

How to find the GCF of 80175 and 80184?

We will first find the prime factorization of 80175 and 80184. After we will calculate the factors of 80175 and 80184 and find the biggest common factor number .

Step-1: Prime Factorization of 80175

Prime factors of 80175 are 3, 5, 1069. Prime factorization of 80175 in exponential form is:

80175 = 3¹ × 5² × 1069¹

Step-2: Prime Factorization of 80184

Prime factors of 80184 are 2, 3, 13, 257. Prime factorization of 80184 in exponential form is:

80184 = 2³ × 3¹ × 13¹ × 257¹

Step-3: Factors of 80175

List of positive integer factors of 80175 that divides 80175 without a remainder.

1, 3, 5, 15, 25, 75, 1069, 3207, 5345, 16035, 26725

Step-4: Factors of 80184

List of positive integer factors of 80184 that divides 80175 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 257, 312, 514, 771, 1028, 1542, 2056, 3084, 3341, 6168, 6682, 10023, 13364, 20046, 26728, 40092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80175 and 80184. The biggest common factor number is the GCF number.
So the greatest common factor 80175 and 80184 is 3.

Also check out the Least Common Multiple of 80175 and 80184