What is the Greatest Common Factor of 16740 and 16750?

Greatest common factor (GCF) of 16740 and 16750 is 10.

GCF(16740,16750) = 10

We will now calculate the prime factors of 16740 and 16750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16740 and 16750.

How to find the GCF of 16740 and 16750?

We will first find the prime factorization of 16740 and 16750. After we will calculate the factors of 16740 and 16750 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 16750

Prime factors of 16750 are 2, 5, 67. Prime factorization of 16750 in exponential form is:

16750 = 2¹ × 5³ × 67¹

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 16750

List of positive integer factors of 16750 that divides 16740 without a remainder.

1, 2, 5, 10, 25, 50, 67, 125, 134, 250, 335, 670, 1675, 3350, 8375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16740 and 16750. The biggest common factor number is the GCF number.
So the greatest common factor 16740 and 16750 is 10.

Also check out the Least Common Multiple of 16740 and 16750