What is the Greatest Common Factor of 85977 and 85995?

Greatest common factor (GCF) of 85977 and 85995 is 9.

GCF(85977,85995) = 9

We will now calculate the prime factors of 85977 and 85995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85977 and 85995.

How to find the GCF of 85977 and 85995?

We will first find the prime factorization of 85977 and 85995. After we will calculate the factors of 85977 and 85995 and find the biggest common factor number .

Step-1: Prime Factorization of 85977

Prime factors of 85977 are 3, 41, 233. Prime factorization of 85977 in exponential form is:

85977 = 3² × 41¹ × 233¹

Step-2: 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-3: Factors of 85977

List of positive integer factors of 85977 that divides 85977 without a remainder.

1, 3, 9, 41, 123, 233, 369, 699, 2097, 9553, 28659

Step-4: Factors of 85995

List of positive integer factors of 85995 that divides 85977 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85977 and 85995. The biggest common factor number is the GCF number.
So the greatest common factor 85977 and 85995 is 9.

Also check out the Least Common Multiple of 85977 and 85995