What is the Greatest Common Factor of 80460 and 80478?

Greatest common factor (GCF) of 80460 and 80478 is 18.

GCF(80460,80478) = 18

We will now calculate the prime factors of 80460 and 80478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80460 and 80478.

How to find the GCF of 80460 and 80478?

We will first find the prime factorization of 80460 and 80478. After we will calculate the factors of 80460 and 80478 and find the biggest common factor number .

Step-1: Prime Factorization of 80460

Prime factors of 80460 are 2, 3, 5, 149. Prime factorization of 80460 in exponential form is:

80460 = 2² × 3³ × 5¹ × 149¹

Step-2: Prime Factorization of 80478

Prime factors of 80478 are 2, 3, 17, 263. Prime factorization of 80478 in exponential form is:

80478 = 2¹ × 3² × 17¹ × 263¹

Step-3: Factors of 80460

List of positive integer factors of 80460 that divides 80460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 149, 180, 270, 298, 447, 540, 596, 745, 894, 1341, 1490, 1788, 2235, 2682, 2980, 4023, 4470, 5364, 6705, 8046, 8940, 13410, 16092, 20115, 26820, 40230

Step-4: Factors of 80478

List of positive integer factors of 80478 that divides 80460 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 263, 306, 526, 789, 1578, 2367, 4471, 4734, 8942, 13413, 26826, 40239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80460 and 80478. The biggest common factor number is the GCF number.
So the greatest common factor 80460 and 80478 is 18.

Also check out the Least Common Multiple of 80460 and 80478