What is the Greatest Common Factor of 80475 and 80490?

Greatest common factor (GCF) of 80475 and 80490 is 15.

GCF(80475,80490) = 15

We will now calculate the prime factors of 80475 and 80490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80475 and 80490.

How to find the GCF of 80475 and 80490?

We will first find the prime factorization of 80475 and 80490. After we will calculate the factors of 80475 and 80490 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 80490

Prime factors of 80490 are 2, 3, 5, 2683. Prime factorization of 80490 in exponential form is:

80490 = 2¹ × 3¹ × 5¹ × 2683¹

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 80490

List of positive integer factors of 80490 that divides 80475 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2683, 5366, 8049, 13415, 16098, 26830, 40245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80475 and 80490. The biggest common factor number is the GCF number.
So the greatest common factor 80475 and 80490 is 15.

Also check out the Least Common Multiple of 80475 and 80490