What is the Greatest Common Factor of 81792 and 81810?

Greatest common factor (GCF) of 81792 and 81810 is 18.

GCF(81792,81810) = 18

We will now calculate the prime factors of 81792 and 81810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81792 and 81810.

How to find the GCF of 81792 and 81810?

We will first find the prime factorization of 81792 and 81810. After we will calculate the factors of 81792 and 81810 and find the biggest common factor number .

Step-1: Prime Factorization of 81792

Prime factors of 81792 are 2, 3, 71. Prime factorization of 81792 in exponential form is:

81792 = 2⁷ × 3² × 71¹

Step-2: Prime Factorization of 81810

Prime factors of 81810 are 2, 3, 5, 101. Prime factorization of 81810 in exponential form is:

81810 = 2¹ × 3⁴ × 5¹ × 101¹

Step-3: Factors of 81792

List of positive integer factors of 81792 that divides 81792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 71, 72, 96, 128, 142, 144, 192, 213, 284, 288, 384, 426, 568, 576, 639, 852, 1136, 1152, 1278, 1704, 2272, 2556, 3408, 4544, 5112, 6816, 9088, 10224, 13632, 20448, 27264, 40896

Step-4: Factors of 81810

List of positive integer factors of 81810 that divides 81792 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 101, 135, 162, 202, 270, 303, 405, 505, 606, 810, 909, 1010, 1515, 1818, 2727, 3030, 4545, 5454, 8181, 9090, 13635, 16362, 27270, 40905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81792 and 81810. The biggest common factor number is the GCF number.
So the greatest common factor 81792 and 81810 is 18.

Also check out the Least Common Multiple of 81792 and 81810