What is the Greatest Common Factor of 46704 and 46716?

Greatest common factor (GCF) of 46704 and 46716 is 12.

GCF(46704,46716) = 12

We will now calculate the prime factors of 46704 and 46716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46704 and 46716.

How to find the GCF of 46704 and 46716?

We will first find the prime factorization of 46704 and 46716. After we will calculate the factors of 46704 and 46716 and find the biggest common factor number .

Step-1: Prime Factorization of 46704

Prime factors of 46704 are 2, 3, 7, 139. Prime factorization of 46704 in exponential form is:

46704 = 2⁴ × 3¹ × 7¹ × 139¹

Step-2: Prime Factorization of 46716

Prime factors of 46716 are 2, 3, 17, 229. Prime factorization of 46716 in exponential form is:

46716 = 2² × 3¹ × 17¹ × 229¹

Step-3: Factors of 46704

List of positive integer factors of 46704 that divides 46704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 139, 168, 278, 336, 417, 556, 834, 973, 1112, 1668, 1946, 2224, 2919, 3336, 3892, 5838, 6672, 7784, 11676, 15568, 23352

Step-4: Factors of 46716

List of positive integer factors of 46716 that divides 46704 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 229, 458, 687, 916, 1374, 2748, 3893, 7786, 11679, 15572, 23358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46704 and 46716. The biggest common factor number is the GCF number.
So the greatest common factor 46704 and 46716 is 12.

Also check out the Least Common Multiple of 46704 and 46716