What is the Greatest Common Factor of 86493 and 86500?

Greatest common factor (GCF) of 86493 and 86500 is 1.

GCF(86493,86500) = 1

We will now calculate the prime factors of 86493 and 86500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86493 and 86500.

How to find the GCF of 86493 and 86500?

We will first find the prime factorization of 86493 and 86500. After we will calculate the factors of 86493 and 86500 and find the biggest common factor number .

Step-1: Prime Factorization of 86493

Prime factors of 86493 are 3, 11, 2621. Prime factorization of 86493 in exponential form is:

86493 = 3¹ × 11¹ × 2621¹

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 86493

List of positive integer factors of 86493 that divides 86493 without a remainder.

1, 3, 11, 33, 2621, 7863, 28831

Step-4: Factors of 86500

List of positive integer factors of 86500 that divides 86493 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 86493 and 86500. The biggest common factor number is the GCF number.
So the greatest common factor 86493 and 86500 is 1.

Also check out the Least Common Multiple of 86493 and 86500