What is the Greatest Common Factor of 80442 and 80460?

Greatest common factor (GCF) of 80442 and 80460 is 18.

GCF(80442,80460) = 18

We will now calculate the prime factors of 80442 and 80460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80442 and 80460.

How to find the GCF of 80442 and 80460?

We will first find the prime factorization of 80442 and 80460. After we will calculate the factors of 80442 and 80460 and find the biggest common factor number .

Step-1: Prime Factorization of 80442

Prime factors of 80442 are 2, 3, 41, 109. Prime factorization of 80442 in exponential form is:

80442 = 2¹ × 3² × 41¹ × 109¹

Step-2: 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-3: Factors of 80442

List of positive integer factors of 80442 that divides 80442 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 109, 123, 218, 246, 327, 369, 654, 738, 981, 1962, 4469, 8938, 13407, 26814, 40221

Step-4: Factors of 80460

List of positive integer factors of 80460 that divides 80442 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80442 and 80460. The biggest common factor number is the GCF number.
So the greatest common factor 80442 and 80460 is 18.

Also check out the Least Common Multiple of 80442 and 80460