What is the Greatest Common Factor of 81664 and 81678?

Greatest common factor (GCF) of 81664 and 81678 is 2.

GCF(81664,81678) = 2

We will now calculate the prime factors of 81664 and 81678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81664 and 81678.

How to find the GCF of 81664 and 81678?

We will first find the prime factorization of 81664 and 81678. After we will calculate the factors of 81664 and 81678 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 81678

Prime factors of 81678 are 2, 3, 13613. Prime factorization of 81678 in exponential form is:

81678 = 2¹ × 3¹ × 13613¹

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 81678

List of positive integer factors of 81678 that divides 81664 without a remainder.

1, 2, 3, 6, 13613, 27226, 40839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81664 and 81678. The biggest common factor number is the GCF number.
So the greatest common factor 81664 and 81678 is 2.

Also check out the Least Common Multiple of 81664 and 81678