What is the Greatest Common Factor of 81664 and 81669?

Greatest common factor (GCF) of 81664 and 81669 is 1.

GCF(81664,81669) = 1

We will now calculate the prime factors of 81664 and 81669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81664 and 81669.

How to find the GCF of 81664 and 81669?

We will first find the prime factorization of 81664 and 81669. After we will calculate the factors of 81664 and 81669 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 81669

Prime factors of 81669 are 3, 7, 3889. Prime factorization of 81669 in exponential form is:

81669 = 3¹ × 7¹ × 3889¹

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 81669

List of positive integer factors of 81669 that divides 81664 without a remainder.

1, 3, 7, 21, 3889, 11667, 27223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81664 and 81669. The biggest common factor number is the GCF number.
So the greatest common factor 81664 and 81669 is 1.

Also check out the Least Common Multiple of 81664 and 81669