What is the Greatest Common Factor of 81645 and 81663?

Greatest common factor (GCF) of 81645 and 81663 is 3.

GCF(81645,81663) = 3

We will now calculate the prime factors of 81645 and 81663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81645 and 81663.

How to find the GCF of 81645 and 81663?

We will first find the prime factorization of 81645 and 81663. After we will calculate the factors of 81645 and 81663 and find the biggest common factor number .

Step-1: Prime Factorization of 81645

Prime factors of 81645 are 3, 5, 5443. Prime factorization of 81645 in exponential form is:

81645 = 3¹ × 5¹ × 5443¹

Step-2: Prime Factorization of 81663

Prime factors of 81663 are 3, 163, 167. Prime factorization of 81663 in exponential form is:

81663 = 3¹ × 163¹ × 167¹

Step-3: Factors of 81645

List of positive integer factors of 81645 that divides 81645 without a remainder.

1, 3, 5, 15, 5443, 16329, 27215

Step-4: Factors of 81663

List of positive integer factors of 81663 that divides 81645 without a remainder.

1, 3, 163, 167, 489, 501, 27221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81645 and 81663. The biggest common factor number is the GCF number.
So the greatest common factor 81645 and 81663 is 3.

Also check out the Least Common Multiple of 81645 and 81663