What is the Greatest Common Factor of 80460 and 80472?

Greatest common factor (GCF) of 80460 and 80472 is 12.

GCF(80460,80472) = 12

We will now calculate the prime factors of 80460 and 80472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80460 and 80472.

How to find the GCF of 80460 and 80472?

We will first find the prime factorization of 80460 and 80472. After we will calculate the factors of 80460 and 80472 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 80472

Prime factors of 80472 are 2, 3, 7, 479. Prime factorization of 80472 in exponential form is:

80472 = 2³ × 3¹ × 7¹ × 479¹

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 80472

List of positive integer factors of 80472 that divides 80460 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 479, 958, 1437, 1916, 2874, 3353, 3832, 5748, 6706, 10059, 11496, 13412, 20118, 26824, 40236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80460 and 80472. The biggest common factor number is the GCF number.
So the greatest common factor 80460 and 80472 is 12.

Also check out the Least Common Multiple of 80460 and 80472