What is the Greatest Common Factor of 16722 and 16740?

Greatest common factor (GCF) of 16722 and 16740 is 18.

GCF(16722,16740) = 18

We will now calculate the prime factors of 16722 and 16740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16722 and 16740.

How to find the GCF of 16722 and 16740?

We will first find the prime factorization of 16722 and 16740. After we will calculate the factors of 16722 and 16740 and find the biggest common factor number .

Step-1: Prime Factorization of 16722

Prime factors of 16722 are 2, 3, 929. Prime factorization of 16722 in exponential form is:

16722 = 2¹ × 3² × 929¹

Step-2: 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-3: Factors of 16722

List of positive integer factors of 16722 that divides 16722 without a remainder.

1, 2, 3, 6, 9, 18, 929, 1858, 2787, 5574, 8361

Step-4: Factors of 16740

List of positive integer factors of 16740 that divides 16722 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16722 and 16740. The biggest common factor number is the GCF number.
So the greatest common factor 16722 and 16740 is 18.

Also check out the Least Common Multiple of 16722 and 16740