What is the Greatest Common Factor of 81158 and 81172?

Greatest common factor (GCF) of 81158 and 81172 is 14.

GCF(81158,81172) = 14

We will now calculate the prime factors of 81158 and 81172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81158 and 81172.

How to find the GCF of 81158 and 81172?

We will first find the prime factorization of 81158 and 81172. After we will calculate the factors of 81158 and 81172 and find the biggest common factor number .

Step-1: Prime Factorization of 81158

Prime factors of 81158 are 2, 7, 11, 17, 31. Prime factorization of 81158 in exponential form is:

81158 = 2¹ × 7¹ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 81172

Prime factors of 81172 are 2, 7, 13, 223. Prime factorization of 81172 in exponential form is:

81172 = 2² × 7¹ × 13¹ × 223¹

Step-3: Factors of 81158

List of positive integer factors of 81158 that divides 81158 without a remainder.

1, 2, 7, 11, 14, 17, 22, 31, 34, 62, 77, 119, 154, 187, 217, 238, 341, 374, 434, 527, 682, 1054, 1309, 2387, 2618, 3689, 4774, 5797, 7378, 11594, 40579

Step-4: Factors of 81172

List of positive integer factors of 81172 that divides 81158 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 223, 364, 446, 892, 1561, 2899, 3122, 5798, 6244, 11596, 20293, 40586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81158 and 81172. The biggest common factor number is the GCF number.
So the greatest common factor 81158 and 81172 is 14.

Also check out the Least Common Multiple of 81158 and 81172