What is the Greatest Common Factor of 86500 and 86509?

Greatest common factor (GCF) of 86500 and 86509 is 1.

GCF(86500,86509) = 1

We will now calculate the prime factors of 86500 and 86509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86500 and 86509.

How to find the GCF of 86500 and 86509?

We will first find the prime factorization of 86500 and 86509. After we will calculate the factors of 86500 and 86509 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86509

Prime factors of 86509 are 86509. Prime factorization of 86509 in exponential form is:

86509 = 86509¹

Step-3: Factors of 86500

List of positive integer factors of 86500 that divides 86500 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

Step-4: Factors of 86509

List of positive integer factors of 86509 that divides 86500 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86500 and 86509. The biggest common factor number is the GCF number.
So the greatest common factor 86500 and 86509 is 1.

Also check out the Least Common Multiple of 86500 and 86509