What is the Greatest Common Factor of 89300 and 89315?

Greatest common factor (GCF) of 89300 and 89315 is 5.

GCF(89300,89315) = 5

We will now calculate the prime factors of 89300 and 89315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89300 and 89315.

How to find the GCF of 89300 and 89315?

We will first find the prime factorization of 89300 and 89315. After we will calculate the factors of 89300 and 89315 and find the biggest common factor number .

Step-1: Prime Factorization of 89300

Prime factors of 89300 are 2, 5, 19, 47. Prime factorization of 89300 in exponential form is:

89300 = 2² × 5² × 19¹ × 47¹

Step-2: Prime Factorization of 89315

Prime factors of 89315 are 5, 17863. Prime factorization of 89315 in exponential form is:

89315 = 5¹ × 17863¹

Step-3: Factors of 89300

List of positive integer factors of 89300 that divides 89300 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 47, 50, 76, 94, 95, 100, 188, 190, 235, 380, 470, 475, 893, 940, 950, 1175, 1786, 1900, 2350, 3572, 4465, 4700, 8930, 17860, 22325, 44650

Step-4: Factors of 89315

List of positive integer factors of 89315 that divides 89300 without a remainder.

1, 5, 17863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89300 and 89315. The biggest common factor number is the GCF number.
So the greatest common factor 89300 and 89315 is 5.

Also check out the Least Common Multiple of 89300 and 89315