What is the Greatest Common Factor of 81648 and 81664?

Greatest common factor (GCF) of 81648 and 81664 is 16.

GCF(81648,81664) = 16

We will now calculate the prime factors of 81648 and 81664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81648 and 81664.

How to find the GCF of 81648 and 81664?

We will first find the prime factorization of 81648 and 81664. After we will calculate the factors of 81648 and 81664 and find the biggest common factor number .

Step-1: Prime Factorization of 81648

Prime factors of 81648 are 2, 3, 7. Prime factorization of 81648 in exponential form is:

81648 = 2⁴ × 3⁶ × 7¹

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 81648

List of positive integer factors of 81648 that divides 81648 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 243, 252, 324, 336, 378, 432, 486, 504, 567, 648, 729, 756, 972, 1008, 1134, 1296, 1458, 1512, 1701, 1944, 2268, 2916, 3024, 3402, 3888, 4536, 5103, 5832, 6804, 9072, 10206, 11664, 13608, 20412, 27216, 40824

Step-4: Factors of 81664

List of positive integer factors of 81664 that divides 81648 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 81648 and 81664. The biggest common factor number is the GCF number.
So the greatest common factor 81648 and 81664 is 16.

Also check out the Least Common Multiple of 81648 and 81664