What is the Greatest Common Factor of 86478 and 86490?

Greatest common factor (GCF) of 86478 and 86490 is 6.

GCF(86478,86490) = 6

We will now calculate the prime factors of 86478 and 86490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86478 and 86490.

How to find the GCF of 86478 and 86490?

We will first find the prime factorization of 86478 and 86490. After we will calculate the factors of 86478 and 86490 and find the biggest common factor number .

Step-1: Prime Factorization of 86478

Prime factors of 86478 are 2, 3, 7, 29, 71. Prime factorization of 86478 in exponential form is:

86478 = 2¹ × 3¹ × 7¹ × 29¹ × 71¹

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 86478

List of positive integer factors of 86478 that divides 86478 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 71, 87, 142, 174, 203, 213, 406, 426, 497, 609, 994, 1218, 1491, 2059, 2982, 4118, 6177, 12354, 14413, 28826, 43239

Step-4: Factors of 86490

List of positive integer factors of 86490 that divides 86478 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 86478 and 86490. The biggest common factor number is the GCF number.
So the greatest common factor 86478 and 86490 is 6.

Also check out the Least Common Multiple of 86478 and 86490