What is the Greatest Common Factor of 81174 and 81184?

Greatest common factor (GCF) of 81174 and 81184 is 2.

GCF(81174,81184) = 2

We will now calculate the prime factors of 81174 and 81184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81174 and 81184.

How to find the GCF of 81174 and 81184?

We will first find the prime factorization of 81174 and 81184. After we will calculate the factors of 81174 and 81184 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81184

Prime factors of 81184 are 2, 43, 59. Prime factorization of 81184 in exponential form is:

81184 = 2⁵ × 43¹ × 59¹

Step-3: Factors of 81174

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

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

Step-4: Factors of 81184

List of positive integer factors of 81184 that divides 81174 without a remainder.

1, 2, 4, 8, 16, 32, 43, 59, 86, 118, 172, 236, 344, 472, 688, 944, 1376, 1888, 2537, 5074, 10148, 20296, 40592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81174 and 81184. The biggest common factor number is the GCF number.
So the greatest common factor 81174 and 81184 is 2.

Also check out the Least Common Multiple of 81174 and 81184