What is the Greatest Common Factor of 80456 and 80460?

Greatest common factor (GCF) of 80456 and 80460 is 4.

GCF(80456,80460) = 4

We will now calculate the prime factors of 80456 and 80460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80456 and 80460.

How to find the GCF of 80456 and 80460?

We will first find the prime factorization of 80456 and 80460. After we will calculate the factors of 80456 and 80460 and find the biggest common factor number .

Step-1: Prime Factorization of 80456

Prime factors of 80456 are 2, 89, 113. Prime factorization of 80456 in exponential form is:

80456 = 2³ × 89¹ × 113¹

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 80456

List of positive integer factors of 80456 that divides 80456 without a remainder.

1, 2, 4, 8, 89, 113, 178, 226, 356, 452, 712, 904, 10057, 20114, 40228

Step-4: Factors of 80460

List of positive integer factors of 80460 that divides 80456 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 80456 and 80460. The biggest common factor number is the GCF number.
So the greatest common factor 80456 and 80460 is 4.

Also check out the Least Common Multiple of 80456 and 80460