What is the Greatest Common Factor of 86490 and 86500?

Greatest common factor (GCF) of 86490 and 86500 is 10.

GCF(86490,86500) = 10

We will now calculate the prime factors of 86490 and 86500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86490 and 86500.

How to find the GCF of 86490 and 86500?

We will first find the prime factorization of 86490 and 86500. After we will calculate the factors of 86490 and 86500 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86500

Prime factors of 86500 are 2, 5, 173. Prime factorization of 86500 in exponential form is:

86500 = 2² × 5³ × 173¹

Step-3: Factors of 86490

List of positive integer factors of 86490 that divides 86490 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

Step-4: Factors of 86500

List of positive integer factors of 86500 that divides 86490 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 173, 250, 346, 500, 692, 865, 1730, 3460, 4325, 8650, 17300, 21625, 43250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86490 and 86500. The biggest common factor number is the GCF number.
So the greatest common factor 86490 and 86500 is 10.

Also check out the Least Common Multiple of 86490 and 86500