What is the Greatest Common Factor of 85995 and 86015?

Greatest common factor (GCF) of 85995 and 86015 is 5.

GCF(85995,86015) = 5

We will now calculate the prime factors of 85995 and 86015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85995 and 86015.

How to find the GCF of 85995 and 86015?

We will first find the prime factorization of 85995 and 86015. After we will calculate the factors of 85995 and 86015 and find the biggest common factor number .

Step-1: Prime Factorization of 85995

Prime factors of 85995 are 3, 5, 7, 13. Prime factorization of 85995 in exponential form is:

85995 = 3³ × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 86015

Prime factors of 86015 are 5, 17203. Prime factorization of 86015 in exponential form is:

86015 = 5¹ × 17203¹

Step-3: Factors of 85995

List of positive integer factors of 85995 that divides 85995 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 27, 35, 39, 45, 49, 63, 65, 91, 105, 117, 135, 147, 189, 195, 245, 273, 315, 351, 441, 455, 585, 637, 735, 819, 945, 1323, 1365, 1755, 1911, 2205, 2457, 3185, 4095, 5733, 6615, 9555, 12285, 17199, 28665

Step-4: Factors of 86015

List of positive integer factors of 86015 that divides 85995 without a remainder.

1, 5, 17203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85995 and 86015. The biggest common factor number is the GCF number.
So the greatest common factor 85995 and 86015 is 5.

Also check out the Least Common Multiple of 85995 and 86015