What is the Greatest Common Factor of 46638 and 46656?

Greatest common factor (GCF) of 46638 and 46656 is 18.

GCF(46638,46656) = 18

We will now calculate the prime factors of 46638 and 46656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46638 and 46656.

How to find the GCF of 46638 and 46656?

We will first find the prime factorization of 46638 and 46656. After we will calculate the factors of 46638 and 46656 and find the biggest common factor number .

Step-1: Prime Factorization of 46638

Prime factors of 46638 are 2, 3, 2591. Prime factorization of 46638 in exponential form is:

46638 = 2¹ × 3² × 2591¹

Step-2: Prime Factorization of 46656

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

46656 = 2⁶ × 3⁶

Step-3: Factors of 46638

List of positive integer factors of 46638 that divides 46638 without a remainder.

1, 2, 3, 6, 9, 18, 2591, 5182, 7773, 15546, 23319

Step-4: Factors of 46656

List of positive integer factors of 46656 that divides 46638 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46638 and 46656. The biggest common factor number is the GCF number.
So the greatest common factor 46638 and 46656 is 18.

Also check out the Least Common Multiple of 46638 and 46656