What is the Greatest Common Factor of 81675 and 81687?

Greatest common factor (GCF) of 81675 and 81687 is 3.

GCF(81675,81687) = 3

We will now calculate the prime factors of 81675 and 81687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81675 and 81687.

How to find the GCF of 81675 and 81687?

We will first find the prime factorization of 81675 and 81687. After we will calculate the factors of 81675 and 81687 and find the biggest common factor number .

Step-1: Prime Factorization of 81675

Prime factors of 81675 are 3, 5, 11. Prime factorization of 81675 in exponential form is:

81675 = 3³ × 5² × 11²

Step-2: Prime Factorization of 81687

Prime factors of 81687 are 3, 73, 373. Prime factorization of 81687 in exponential form is:

81687 = 3¹ × 73¹ × 373¹

Step-3: Factors of 81675

List of positive integer factors of 81675 that divides 81675 without a remainder.

1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 121, 135, 165, 225, 275, 297, 363, 495, 605, 675, 825, 1089, 1485, 1815, 2475, 3025, 3267, 5445, 7425, 9075, 16335, 27225

Step-4: Factors of 81687

List of positive integer factors of 81687 that divides 81675 without a remainder.

1, 3, 73, 219, 373, 1119, 27229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81675 and 81687. The biggest common factor number is the GCF number.
So the greatest common factor 81675 and 81687 is 3.

Also check out the Least Common Multiple of 81675 and 81687