What is the Greatest Common Factor of 81144 and 81162?

Greatest common factor (GCF) of 81144 and 81162 is 18.

GCF(81144,81162) = 18

We will now calculate the prime factors of 81144 and 81162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81144 and 81162.

How to find the GCF of 81144 and 81162?

We will first find the prime factorization of 81144 and 81162. After we will calculate the factors of 81144 and 81162 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 81162

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

81162 = 2¹ × 3⁵ × 167¹

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 81162

List of positive integer factors of 81162 that divides 81144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81144 and 81162. The biggest common factor number is the GCF number.
So the greatest common factor 81144 and 81162 is 18.

Also check out the Least Common Multiple of 81144 and 81162