What is the Greatest Common Factor of 16724 and 16740?

Greatest common factor (GCF) of 16724 and 16740 is 4.

GCF(16724,16740) = 4

We will now calculate the prime factors of 16724 and 16740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16724 and 16740.

How to find the GCF of 16724 and 16740?

We will first find the prime factorization of 16724 and 16740. After we will calculate the factors of 16724 and 16740 and find the biggest common factor number .

Step-1: Prime Factorization of 16724

Prime factors of 16724 are 2, 37, 113. Prime factorization of 16724 in exponential form is:

16724 = 2² × 37¹ × 113¹

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 16724

List of positive integer factors of 16724 that divides 16724 without a remainder.

1, 2, 4, 37, 74, 113, 148, 226, 452, 4181, 8362

Step-4: Factors of 16740

List of positive integer factors of 16740 that divides 16724 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 16724 and 16740. The biggest common factor number is the GCF number.
So the greatest common factor 16724 and 16740 is 4.

Also check out the Least Common Multiple of 16724 and 16740