What is the Greatest Common Factor of 81159 and 81174?

Greatest common factor (GCF) of 81159 and 81174 is 3.

GCF(81159,81174) = 3

We will now calculate the prime factors of 81159 and 81174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81159 and 81174.

How to find the GCF of 81159 and 81174?

We will first find the prime factorization of 81159 and 81174. After we will calculate the factors of 81159 and 81174 and find the biggest common factor number .

Step-1: Prime Factorization of 81159

Prime factors of 81159 are 3, 13, 2081. Prime factorization of 81159 in exponential form is:

81159 = 3¹ × 13¹ × 2081¹

Step-2: Prime Factorization of 81174

Prime factors of 81174 are 2, 3, 83, 163. Prime factorization of 81174 in exponential form is:

81174 = 2¹ × 3¹ × 83¹ × 163¹

Step-3: Factors of 81159

List of positive integer factors of 81159 that divides 81159 without a remainder.

1, 3, 13, 39, 2081, 6243, 27053

Step-4: Factors of 81174

List of positive integer factors of 81174 that divides 81159 without a remainder.

1, 2, 3, 6, 83, 163, 166, 249, 326, 489, 498, 978, 13529, 27058, 40587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81159 and 81174. The biggest common factor number is the GCF number.
So the greatest common factor 81159 and 81174 is 3.

Also check out the Least Common Multiple of 81159 and 81174