What is the Greatest Common Factor of 81664 and 81677?

Greatest common factor (GCF) of 81664 and 81677 is 1.

GCF(81664,81677) = 1

We will now calculate the prime factors of 81664 and 81677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81664 and 81677.

How to find the GCF of 81664 and 81677?

We will first find the prime factorization of 81664 and 81677. After we will calculate the factors of 81664 and 81677 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 81677

Prime factors of 81677 are 81677. Prime factorization of 81677 in exponential form is:

81677 = 81677¹

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 81677

List of positive integer factors of 81677 that divides 81664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81664 and 81677. The biggest common factor number is the GCF number.
So the greatest common factor 81664 and 81677 is 1.

Also check out the Least Common Multiple of 81664 and 81677