What is the Greatest Common Factor of 16740 and 16752?

Greatest common factor (GCF) of 16740 and 16752 is 12.

GCF(16740,16752) = 12

We will now calculate the prime factors of 16740 and 16752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16740 and 16752.

How to find the GCF of 16740 and 16752?

We will first find the prime factorization of 16740 and 16752. After we will calculate the factors of 16740 and 16752 and find the biggest common factor number .

Step-1: Prime Factorization of 16740

Prime factors of 16740 are 2, 3, 5, 31. Prime factorization of 16740 in exponential form is:

16740 = 2² × 3³ × 5¹ × 31¹

Step-2: Prime Factorization of 16752

Prime factors of 16752 are 2, 3, 349. Prime factorization of 16752 in exponential form is:

16752 = 2⁴ × 3¹ × 349¹

Step-3: Factors of 16740

List of positive integer factors of 16740 that divides 16740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 31, 36, 45, 54, 60, 62, 90, 93, 108, 124, 135, 155, 180, 186, 270, 279, 310, 372, 465, 540, 558, 620, 837, 930, 1116, 1395, 1674, 1860, 2790, 3348, 4185, 5580, 8370

Step-4: Factors of 16752

List of positive integer factors of 16752 that divides 16740 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16740 and 16752. The biggest common factor number is the GCF number.
So the greatest common factor 16740 and 16752 is 12.

Also check out the Least Common Multiple of 16740 and 16752