What is the Greatest Common Factor of 81664 and 81675?

Greatest common factor (GCF) of 81664 and 81675 is 11.

GCF(81664,81675) = 11

We will now calculate the prime factors of 81664 and 81675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81664 and 81675.

How to find the GCF of 81664 and 81675?

We will first find the prime factorization of 81664 and 81675. After we will calculate the factors of 81664 and 81675 and find the biggest common factor number .

Step-1: Prime Factorization of 81664

Prime factors of 81664 are 2, 11, 29. Prime factorization of 81664 in exponential form is:

81664 = 2⁸ × 11¹ × 29¹

Step-2: 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-3: Factors of 81664

List of positive integer factors of 81664 that divides 81664 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 32, 44, 58, 64, 88, 116, 128, 176, 232, 256, 319, 352, 464, 638, 704, 928, 1276, 1408, 1856, 2552, 2816, 3712, 5104, 7424, 10208, 20416, 40832

Step-4: Factors of 81675

List of positive integer factors of 81675 that divides 81664 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81664 and 81675. The biggest common factor number is the GCF number.
So the greatest common factor 81664 and 81675 is 11.

Also check out the Least Common Multiple of 81664 and 81675