What is the Greatest Common Factor of 46716 and 46733?

Greatest common factor (GCF) of 46716 and 46733 is 17.

GCF(46716,46733) = 17

We will now calculate the prime factors of 46716 and 46733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46716 and 46733.

How to find the GCF of 46716 and 46733?

We will first find the prime factorization of 46716 and 46733. After we will calculate the factors of 46716 and 46733 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46733

Prime factors of 46733 are 17, 2749. Prime factorization of 46733 in exponential form is:

46733 = 17¹ × 2749¹

Step-3: Factors of 46716

List of positive integer factors of 46716 that divides 46716 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

Step-4: Factors of 46733

List of positive integer factors of 46733 that divides 46716 without a remainder.

1, 17, 2749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46716 and 46733. The biggest common factor number is the GCF number.
So the greatest common factor 46716 and 46733 is 17.

Also check out the Least Common Multiple of 46716 and 46733