What is the Greatest Common Factor of 80475 and 80484?

Greatest common factor (GCF) of 80475 and 80484 is 3.

GCF(80475,80484) = 3

We will now calculate the prime factors of 80475 and 80484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80475 and 80484.

How to find the GCF of 80475 and 80484?

We will first find the prime factorization of 80475 and 80484. After we will calculate the factors of 80475 and 80484 and find the biggest common factor number .

Step-1: Prime Factorization of 80475

Prime factors of 80475 are 3, 5, 29, 37. Prime factorization of 80475 in exponential form is:

80475 = 3¹ × 5² × 29¹ × 37¹

Step-2: Prime Factorization of 80484

Prime factors of 80484 are 2, 3, 19, 353. Prime factorization of 80484 in exponential form is:

80484 = 2² × 3¹ × 19¹ × 353¹

Step-3: Factors of 80475

List of positive integer factors of 80475 that divides 80475 without a remainder.

1, 3, 5, 15, 25, 29, 37, 75, 87, 111, 145, 185, 435, 555, 725, 925, 1073, 2175, 2775, 3219, 5365, 16095, 26825

Step-4: Factors of 80484

List of positive integer factors of 80484 that divides 80475 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 353, 706, 1059, 1412, 2118, 4236, 6707, 13414, 20121, 26828, 40242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80475 and 80484. The biggest common factor number is the GCF number.
So the greatest common factor 80475 and 80484 is 3.

Also check out the Least Common Multiple of 80475 and 80484