What is the Greatest Common Factor of 81162 and 81177?

Greatest common factor (GCF) of 81162 and 81177 is 3.

GCF(81162,81177) = 3

We will now calculate the prime factors of 81162 and 81177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81162 and 81177.

How to find the GCF of 81162 and 81177?

We will first find the prime factorization of 81162 and 81177. After we will calculate the factors of 81162 and 81177 and find the biggest common factor number .

Step-1: Prime Factorization of 81162

Prime factors of 81162 are 2, 3, 167. Prime factorization of 81162 in exponential form is:

81162 = 2¹ × 3⁵ × 167¹

Step-2: Prime Factorization of 81177

Prime factors of 81177 are 3, 27059. Prime factorization of 81177 in exponential form is:

81177 = 3¹ × 27059¹

Step-3: Factors of 81162

List of positive integer factors of 81162 that divides 81162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 167, 243, 334, 486, 501, 1002, 1503, 3006, 4509, 9018, 13527, 27054, 40581

Step-4: Factors of 81177

List of positive integer factors of 81177 that divides 81162 without a remainder.

1, 3, 27059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81162 and 81177. The biggest common factor number is the GCF number.
So the greatest common factor 81162 and 81177 is 3.

Also check out the Least Common Multiple of 81162 and 81177