What is the Greatest Common Factor of 46688 and 46704?

Greatest common factor (GCF) of 46688 and 46704 is 16.

GCF(46688,46704) = 16

We will now calculate the prime factors of 46688 and 46704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46688 and 46704.

How to find the GCF of 46688 and 46704?

We will first find the prime factorization of 46688 and 46704. After we will calculate the factors of 46688 and 46704 and find the biggest common factor number .

Step-1: Prime Factorization of 46688

Prime factors of 46688 are 2, 1459. Prime factorization of 46688 in exponential form is:

46688 = 2⁵ × 1459¹

Step-2: 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-3: Factors of 46688

List of positive integer factors of 46688 that divides 46688 without a remainder.

1, 2, 4, 8, 16, 32, 1459, 2918, 5836, 11672, 23344

Step-4: Factors of 46704

List of positive integer factors of 46704 that divides 46688 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46688 and 46704. The biggest common factor number is the GCF number.
So the greatest common factor 46688 and 46704 is 16.

Also check out the Least Common Multiple of 46688 and 46704