What is the Greatest Common Factor of 81801 and 81807?

Greatest common factor (GCF) of 81801 and 81807 is 3.

GCF(81801,81807) = 3

We will now calculate the prime factors of 81801 and 81807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81801 and 81807.

How to find the GCF of 81801 and 81807?

We will first find the prime factorization of 81801 and 81807. After we will calculate the factors of 81801 and 81807 and find the biggest common factor number .

Step-1: Prime Factorization of 81801

Prime factors of 81801 are 3, 61, 149. Prime factorization of 81801 in exponential form is:

81801 = 3² × 61¹ × 149¹

Step-2: Prime Factorization of 81807

Prime factors of 81807 are 3, 11, 37, 67. Prime factorization of 81807 in exponential form is:

81807 = 3¹ × 11¹ × 37¹ × 67¹

Step-3: Factors of 81801

List of positive integer factors of 81801 that divides 81801 without a remainder.

1, 3, 9, 61, 149, 183, 447, 549, 1341, 9089, 27267

Step-4: Factors of 81807

List of positive integer factors of 81807 that divides 81801 without a remainder.

1, 3, 11, 33, 37, 67, 111, 201, 407, 737, 1221, 2211, 2479, 7437, 27269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81801 and 81807. The biggest common factor number is the GCF number.
So the greatest common factor 81801 and 81807 is 3.

Also check out the Least Common Multiple of 81801 and 81807