What is the Greatest Common Factor of 85995 and 86008?

Greatest common factor (GCF) of 85995 and 86008 is 13.

GCF(85995,86008) = 13

We will now calculate the prime factors of 85995 and 86008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85995 and 86008.

How to find the GCF of 85995 and 86008?

We will first find the prime factorization of 85995 and 86008. After we will calculate the factors of 85995 and 86008 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 86008

Prime factors of 86008 are 2, 13, 827. Prime factorization of 86008 in exponential form is:

86008 = 2³ × 13¹ × 827¹

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 86008

List of positive integer factors of 86008 that divides 85995 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 827, 1654, 3308, 6616, 10751, 21502, 43004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85995 and 86008. The biggest common factor number is the GCF number.
So the greatest common factor 85995 and 86008 is 13.

Also check out the Least Common Multiple of 85995 and 86008