What is the Greatest Common Factor of 46656 and 46663?

Greatest common factor (GCF) of 46656 and 46663 is 1.

GCF(46656,46663) = 1

We will now calculate the prime factors of 46656 and 46663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46656 and 46663.

How to find the GCF of 46656 and 46663?

We will first find the prime factorization of 46656 and 46663. After we will calculate the factors of 46656 and 46663 and find the biggest common factor number .

Step-1: Prime Factorization of 46656

Prime factors of 46656 are 2, 3. Prime factorization of 46656 in exponential form is:

46656 = 2⁶ × 3⁶

Step-2: Prime Factorization of 46663

Prime factors of 46663 are 46663. Prime factorization of 46663 in exponential form is:

46663 = 46663¹

Step-3: Factors of 46656

List of positive integer factors of 46656 that divides 46656 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 243, 288, 324, 432, 486, 576, 648, 729, 864, 972, 1296, 1458, 1728, 1944, 2592, 2916, 3888, 5184, 5832, 7776, 11664, 15552, 23328

Step-4: Factors of 46663

List of positive integer factors of 46663 that divides 46656 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46656 and 46663. The biggest common factor number is the GCF number.
So the greatest common factor 46656 and 46663 is 1.

Also check out the Least Common Multiple of 46656 and 46663