What is the Greatest Common Factor of 80460 and 80465?

Greatest common factor (GCF) of 80460 and 80465 is 5.

GCF(80460,80465) = 5

We will now calculate the prime factors of 80460 and 80465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80460 and 80465.

How to find the GCF of 80460 and 80465?

We will first find the prime factorization of 80460 and 80465. After we will calculate the factors of 80460 and 80465 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 80465

Prime factors of 80465 are 5, 7, 11, 19. Prime factorization of 80465 in exponential form is:

80465 = 5¹ × 7¹ × 11² × 19¹

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 80465

List of positive integer factors of 80465 that divides 80460 without a remainder.

1, 5, 7, 11, 19, 35, 55, 77, 95, 121, 133, 209, 385, 605, 665, 847, 1045, 1463, 2299, 4235, 7315, 11495, 16093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80460 and 80465. The biggest common factor number is the GCF number.
So the greatest common factor 80460 and 80465 is 5.

Also check out the Least Common Multiple of 80460 and 80465