What is the Greatest Common Factor of 95985 and 96005?

Greatest common factor (GCF) of 95985 and 96005 is 5.

GCF(95985,96005) = 5

We will now calculate the prime factors of 95985 and 96005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95985 and 96005.

How to find the GCF of 95985 and 96005?

We will first find the prime factorization of 95985 and 96005. After we will calculate the factors of 95985 and 96005 and find the biggest common factor number .

Step-1: Prime Factorization of 95985

Prime factors of 95985 are 3, 5, 79. Prime factorization of 95985 in exponential form is:

95985 = 3⁵ × 5¹ × 79¹

Step-2: Prime Factorization of 96005

Prime factors of 96005 are 5, 7, 13, 211. Prime factorization of 96005 in exponential form is:

96005 = 5¹ × 7¹ × 13¹ × 211¹

Step-3: Factors of 95985

List of positive integer factors of 95985 that divides 95985 without a remainder.

1, 3, 5, 9, 15, 27, 45, 79, 81, 135, 237, 243, 395, 405, 711, 1185, 1215, 2133, 3555, 6399, 10665, 19197, 31995

Step-4: Factors of 96005

List of positive integer factors of 96005 that divides 95985 without a remainder.

1, 5, 7, 13, 35, 65, 91, 211, 455, 1055, 1477, 2743, 7385, 13715, 19201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95985 and 96005. The biggest common factor number is the GCF number.
So the greatest common factor 95985 and 96005 is 5.

Also check out the Least Common Multiple of 95985 and 96005