What is the Greatest Common Factor of 16740 and 16754?

Greatest common factor (GCF) of 16740 and 16754 is 2.

GCF(16740,16754) = 2

We will now calculate the prime factors of 16740 and 16754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16740 and 16754.

How to find the GCF of 16740 and 16754?

We will first find the prime factorization of 16740 and 16754. After we will calculate the factors of 16740 and 16754 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 16754

Prime factors of 16754 are 2, 8377. Prime factorization of 16754 in exponential form is:

16754 = 2¹ × 8377¹

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 16754

List of positive integer factors of 16754 that divides 16740 without a remainder.

1, 2, 8377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16740 and 16754. The biggest common factor number is the GCF number.
So the greatest common factor 16740 and 16754 is 2.

Also check out the Least Common Multiple of 16740 and 16754