What is the Greatest Common Factor of 81649 and 81664?

Greatest common factor (GCF) of 81649 and 81664 is 1.

GCF(81649,81664) = 1

We will now calculate the prime factors of 81649 and 81664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81649 and 81664.

How to find the GCF of 81649 and 81664?

We will first find the prime factorization of 81649 and 81664. After we will calculate the factors of 81649 and 81664 and find the biggest common factor number .

Step-1: Prime Factorization of 81649

Prime factors of 81649 are 81649. Prime factorization of 81649 in exponential form is:

81649 = 81649¹

Step-2: 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-3: Factors of 81649

List of positive integer factors of 81649 that divides 81649 without a remainder.

Step-4: Factors of 81664

List of positive integer factors of 81664 that divides 81649 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81649 and 81664. The biggest common factor number is the GCF number.
So the greatest common factor 81649 and 81664 is 1.

Also check out the Least Common Multiple of 81649 and 81664