What is the Greatest Common Factor of 46656 and 46676?

Greatest common factor (GCF) of 46656 and 46676 is 4.

GCF(46656,46676) = 4

We will now calculate the prime factors of 46656 and 46676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46656 and 46676.

How to find the GCF of 46656 and 46676?

We will first find the prime factorization of 46656 and 46676. After we will calculate the factors of 46656 and 46676 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 46676

Prime factors of 46676 are 2, 7, 1667. Prime factorization of 46676 in exponential form is:

46676 = 2² × 7¹ × 1667¹

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 46676

List of positive integer factors of 46676 that divides 46656 without a remainder.

1, 2, 4, 7, 14, 28, 1667, 3334, 6668, 11669, 23338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46656 and 46676. The biggest common factor number is the GCF number.
So the greatest common factor 46656 and 46676 is 4.

Also check out the Least Common Multiple of 46656 and 46676