What is the Greatest Common Factor of 81144 and 81158?

Greatest common factor (GCF) of 81144 and 81158 is 14.

GCF(81144,81158) = 14

We will now calculate the prime factors of 81144 and 81158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81144 and 81158.

How to find the GCF of 81144 and 81158?

We will first find the prime factorization of 81144 and 81158. After we will calculate the factors of 81144 and 81158 and find the biggest common factor number .

Step-1: Prime Factorization of 81144

Prime factors of 81144 are 2, 3, 7, 23. Prime factorization of 81144 in exponential form is:

81144 = 2³ × 3² × 7² × 23¹

Step-2: 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-3: Factors of 81144

List of positive integer factors of 81144 that divides 81144 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 23, 24, 28, 36, 42, 46, 49, 56, 63, 69, 72, 84, 92, 98, 126, 138, 147, 161, 168, 184, 196, 207, 252, 276, 294, 322, 392, 414, 441, 483, 504, 552, 588, 644, 828, 882, 966, 1127, 1176, 1288, 1449, 1656, 1764, 1932, 2254, 2898, 3381, 3528, 3864, 4508, 5796, 6762, 9016, 10143, 11592, 13524, 20286, 27048, 40572

Step-4: Factors of 81158

List of positive integer factors of 81158 that divides 81144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81144 and 81158. The biggest common factor number is the GCF number.
So the greatest common factor 81144 and 81158 is 14.

Also check out the Least Common Multiple of 81144 and 81158