What is the Greatest Common Factor of 81648 and 81667?

Greatest common factor (GCF) of 81648 and 81667 is 1.

GCF(81648,81667) = 1

We will now calculate the prime factors of 81648 and 81667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81648 and 81667.

How to find the GCF of 81648 and 81667?

We will first find the prime factorization of 81648 and 81667. After we will calculate the factors of 81648 and 81667 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 81667

Prime factors of 81667 are 81667. Prime factorization of 81667 in exponential form is:

81667 = 81667¹

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 81667

List of positive integer factors of 81667 that divides 81648 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81648 and 81667. The biggest common factor number is the GCF number.
So the greatest common factor 81648 and 81667 is 1.

Also check out the Least Common Multiple of 81648 and 81667