What is the Greatest Common Factor of 86475 and 86490?

Greatest common factor (GCF) of 86475 and 86490 is 15.

GCF(86475,86490) = 15

We will now calculate the prime factors of 86475 and 86490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86475 and 86490.

How to find the GCF of 86475 and 86490?

We will first find the prime factorization of 86475 and 86490. After we will calculate the factors of 86475 and 86490 and find the biggest common factor number .

Step-1: Prime Factorization of 86475

Prime factors of 86475 are 3, 5, 1153. Prime factorization of 86475 in exponential form is:

86475 = 3¹ × 5² × 1153¹

Step-2: Prime Factorization of 86490

Prime factors of 86490 are 2, 3, 5, 31. Prime factorization of 86490 in exponential form is:

86490 = 2¹ × 3² × 5¹ × 31²

Step-3: Factors of 86475

List of positive integer factors of 86475 that divides 86475 without a remainder.

1, 3, 5, 15, 25, 75, 1153, 3459, 5765, 17295, 28825

Step-4: Factors of 86490

List of positive integer factors of 86490 that divides 86475 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 961, 1395, 1922, 2790, 2883, 4805, 5766, 8649, 9610, 14415, 17298, 28830, 43245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86475 and 86490. The biggest common factor number is the GCF number.
So the greatest common factor 86475 and 86490 is 15.

Also check out the Least Common Multiple of 86475 and 86490