What is the Greatest Common Factor of 46656 and 46672?

Greatest common factor (GCF) of 46656 and 46672 is 16.

GCF(46656,46672) = 16

We will now calculate the prime factors of 46656 and 46672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46656 and 46672.

How to find the GCF of 46656 and 46672?

We will first find the prime factorization of 46656 and 46672. After we will calculate the factors of 46656 and 46672 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 46672

Prime factors of 46672 are 2, 2917. Prime factorization of 46672 in exponential form is:

46672 = 2⁴ × 2917¹

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 46672

List of positive integer factors of 46672 that divides 46656 without a remainder.

1, 2, 4, 8, 16, 2917, 5834, 11668, 23336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46656 and 46672. The biggest common factor number is the GCF number.
So the greatest common factor 46656 and 46672 is 16.

Also check out the Least Common Multiple of 46656 and 46672