What is the Greatest Common Factor of 81792 and 81805?

Greatest common factor (GCF) of 81792 and 81805 is 1.

GCF(81792,81805) = 1

We will now calculate the prime factors of 81792 and 81805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81792 and 81805.

How to find the GCF of 81792 and 81805?

We will first find the prime factorization of 81792 and 81805. After we will calculate the factors of 81792 and 81805 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 81805

Prime factors of 81805 are 5, 16361. Prime factorization of 81805 in exponential form is:

81805 = 5¹ × 16361¹

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 81805

List of positive integer factors of 81805 that divides 81792 without a remainder.

1, 5, 16361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81792 and 81805. The biggest common factor number is the GCF number.
So the greatest common factor 81792 and 81805 is 1.

Also check out the Least Common Multiple of 81792 and 81805