What is the Greatest Common Factor of 86485 and 86500?

Greatest common factor (GCF) of 86485 and 86500 is 5.

GCF(86485,86500) = 5

We will now calculate the prime factors of 86485 and 86500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86485 and 86500.

How to find the GCF of 86485 and 86500?

We will first find the prime factorization of 86485 and 86500. After we will calculate the factors of 86485 and 86500 and find the biggest common factor number .

Step-1: Prime Factorization of 86485

Prime factors of 86485 are 5, 7, 353. Prime factorization of 86485 in exponential form is:

86485 = 5¹ × 7² × 353¹

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 86485

List of positive integer factors of 86485 that divides 86485 without a remainder.

1, 5, 7, 35, 49, 245, 353, 1765, 2471, 12355, 17297

Step-4: Factors of 86500

List of positive integer factors of 86500 that divides 86485 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 86485 and 86500. The biggest common factor number is the GCF number.
So the greatest common factor 86485 and 86500 is 5.

Also check out the Least Common Multiple of 86485 and 86500