What is the Greatest Common Factor of 46642 and 46656?

Greatest common factor (GCF) of 46642 and 46656 is 2.

GCF(46642,46656) = 2

We will now calculate the prime factors of 46642 and 46656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46642 and 46656.

How to find the GCF of 46642 and 46656?

We will first find the prime factorization of 46642 and 46656. After we will calculate the factors of 46642 and 46656 and find the biggest common factor number .

Step-1: Prime Factorization of 46642

Prime factors of 46642 are 2, 23321. Prime factorization of 46642 in exponential form is:

46642 = 2¹ × 23321¹

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 46642

List of positive integer factors of 46642 that divides 46642 without a remainder.

1, 2, 23321

Step-4: Factors of 46656

List of positive integer factors of 46656 that divides 46642 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 46642 and 46656. The biggest common factor number is the GCF number.
So the greatest common factor 46642 and 46656 is 2.

Also check out the Least Common Multiple of 46642 and 46656