What is the Greatest Common Factor of 89565 and 89585?

Greatest common factor (GCF) of 89565 and 89585 is 5.

GCF(89565,89585) = 5

We will now calculate the prime factors of 89565 and 89585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89565 and 89585.

How to find the GCF of 89565 and 89585?

We will first find the prime factorization of 89565 and 89585. After we will calculate the factors of 89565 and 89585 and find the biggest common factor number .

Step-1: Prime Factorization of 89565

Prime factors of 89565 are 3, 5, 7, 853. Prime factorization of 89565 in exponential form is:

89565 = 3¹ × 5¹ × 7¹ × 853¹

Step-2: Prime Factorization of 89585

Prime factors of 89585 are 5, 19, 23, 41. Prime factorization of 89585 in exponential form is:

89585 = 5¹ × 19¹ × 23¹ × 41¹

Step-3: Factors of 89565

List of positive integer factors of 89565 that divides 89565 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 853, 2559, 4265, 5971, 12795, 17913, 29855

Step-4: Factors of 89585

List of positive integer factors of 89585 that divides 89565 without a remainder.

1, 5, 19, 23, 41, 95, 115, 205, 437, 779, 943, 2185, 3895, 4715, 17917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89565 and 89585. The biggest common factor number is the GCF number.
So the greatest common factor 89565 and 89585 is 5.

Also check out the Least Common Multiple of 89565 and 89585