What is the Greatest Common Factor of 81648 and 81657?

Greatest common factor (GCF) of 81648 and 81657 is 9.

GCF(81648,81657) = 9

We will now calculate the prime factors of 81648 and 81657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81648 and 81657.

How to find the GCF of 81648 and 81657?

We will first find the prime factorization of 81648 and 81657. After we will calculate the factors of 81648 and 81657 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 81657

Prime factors of 81657 are 3, 43, 211. Prime factorization of 81657 in exponential form is:

81657 = 3² × 43¹ × 211¹

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 81657

List of positive integer factors of 81657 that divides 81648 without a remainder.

1, 3, 9, 43, 129, 211, 387, 633, 1899, 9073, 27219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81648 and 81657. The biggest common factor number is the GCF number.
So the greatest common factor 81648 and 81657 is 9.

Also check out the Least Common Multiple of 81648 and 81657