What is the Greatest Common Factor of 96565 and 96585?

Greatest common factor (GCF) of 96565 and 96585 is 5.

GCF(96565,96585) = 5

We will now calculate the prime factors of 96565 and 96585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96565 and 96585.

How to find the GCF of 96565 and 96585?

We will first find the prime factorization of 96565 and 96585. After we will calculate the factors of 96565 and 96585 and find the biggest common factor number .

Step-1: Prime Factorization of 96565

Prime factors of 96565 are 5, 7, 31, 89. Prime factorization of 96565 in exponential form is:

96565 = 5¹ × 7¹ × 31¹ × 89¹

Step-2: Prime Factorization of 96585

Prime factors of 96585 are 3, 5, 47, 137. Prime factorization of 96585 in exponential form is:

96585 = 3¹ × 5¹ × 47¹ × 137¹

Step-3: Factors of 96565

List of positive integer factors of 96565 that divides 96565 without a remainder.

1, 5, 7, 31, 35, 89, 155, 217, 445, 623, 1085, 2759, 3115, 13795, 19313

Step-4: Factors of 96585

List of positive integer factors of 96585 that divides 96565 without a remainder.

1, 3, 5, 15, 47, 137, 141, 235, 411, 685, 705, 2055, 6439, 19317, 32195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96565 and 96585. The biggest common factor number is the GCF number.
So the greatest common factor 96565 and 96585 is 5.

Also check out the Least Common Multiple of 96565 and 96585