What is the Greatest Common Factor of 89489 and 89500?

Greatest common factor (GCF) of 89489 and 89500 is 1.

GCF(89489,89500) = 1

We will now calculate the prime factors of 89489 and 89500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89489 and 89500.

How to find the GCF of 89489 and 89500?

We will first find the prime factorization of 89489 and 89500. After we will calculate the factors of 89489 and 89500 and find the biggest common factor number .

Step-1: Prime Factorization of 89489

Prime factors of 89489 are 109, 821. Prime factorization of 89489 in exponential form is:

89489 = 109¹ × 821¹

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 89489

List of positive integer factors of 89489 that divides 89489 without a remainder.

1, 109, 821

Step-4: Factors of 89500

List of positive integer factors of 89500 that divides 89489 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 89489 and 89500. The biggest common factor number is the GCF number.
So the greatest common factor 89489 and 89500 is 1.

Also check out the Least Common Multiple of 89489 and 89500