What is the Greatest Common Factor of 89500 and 89508?

Greatest common factor (GCF) of 89500 and 89508 is 4.

GCF(89500,89508) = 4

We will now calculate the prime factors of 89500 and 89508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89500 and 89508.

How to find the GCF of 89500 and 89508?

We will first find the prime factorization of 89500 and 89508. After we will calculate the factors of 89500 and 89508 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89508

Prime factors of 89508 are 2, 3, 7459. Prime factorization of 89508 in exponential form is:

89508 = 2² × 3¹ × 7459¹

Step-3: Factors of 89500

List of positive integer factors of 89500 that divides 89500 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

Step-4: Factors of 89508

List of positive integer factors of 89508 that divides 89500 without a remainder.

1, 2, 3, 4, 6, 12, 7459, 14918, 22377, 29836, 44754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89500 and 89508. The biggest common factor number is the GCF number.
So the greatest common factor 89500 and 89508 is 4.

Also check out the Least Common Multiple of 89500 and 89508