What is the Greatest Common Factor of 89487 and 89500?

Greatest common factor (GCF) of 89487 and 89500 is 1.

GCF(89487,89500) = 1

We will now calculate the prime factors of 89487 and 89500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89487 and 89500.

How to find the GCF of 89487 and 89500?

We will first find the prime factorization of 89487 and 89500. After we will calculate the factors of 89487 and 89500 and find the biggest common factor number .

Step-1: Prime Factorization of 89487

Prime factors of 89487 are 3, 61, 163. Prime factorization of 89487 in exponential form is:

89487 = 3² × 61¹ × 163¹

Step-2: Prime Factorization of 89500

Prime factors of 89500 are 2, 5, 179. Prime factorization of 89500 in exponential form is:

89500 = 2² × 5³ × 179¹

Step-3: Factors of 89487

List of positive integer factors of 89487 that divides 89487 without a remainder.

1, 3, 9, 61, 163, 183, 489, 549, 1467, 9943, 29829

Step-4: Factors of 89500

List of positive integer factors of 89500 that divides 89487 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 179, 250, 358, 500, 716, 895, 1790, 3580, 4475, 8950, 17900, 22375, 44750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89487 and 89500. The biggest common factor number is the GCF number.
So the greatest common factor 89487 and 89500 is 1.

Also check out the Least Common Multiple of 89487 and 89500