What is the Greatest Common Factor of 46656 and 46669?

Greatest common factor (GCF) of 46656 and 46669 is 1.

GCF(46656,46669) = 1

We will now calculate the prime factors of 46656 and 46669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46656 and 46669.

How to find the GCF of 46656 and 46669?

We will first find the prime factorization of 46656 and 46669. After we will calculate the factors of 46656 and 46669 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 46669

Prime factors of 46669 are 7, 59, 113. Prime factorization of 46669 in exponential form is:

46669 = 7¹ × 59¹ × 113¹

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 46669

List of positive integer factors of 46669 that divides 46656 without a remainder.

1, 7, 59, 113, 413, 791, 6667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46656 and 46669. The biggest common factor number is the GCF number.
So the greatest common factor 46656 and 46669 is 1.

Also check out the Least Common Multiple of 46656 and 46669