What is the Greatest Common Factor of 16874 and 16892?

Greatest common factor (GCF) of 16874 and 16892 is 2.

GCF(16874,16892) = 2

We will now calculate the prime factors of 16874 and 16892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16874 and 16892.

How to find the GCF of 16874 and 16892?

We will first find the prime factorization of 16874 and 16892. After we will calculate the factors of 16874 and 16892 and find the biggest common factor number .

Step-1: Prime Factorization of 16874

Prime factors of 16874 are 2, 11, 13, 59. Prime factorization of 16874 in exponential form is:

16874 = 2¹ × 11¹ × 13¹ × 59¹

Step-2: Prime Factorization of 16892

Prime factors of 16892 are 2, 41, 103. Prime factorization of 16892 in exponential form is:

16892 = 2² × 41¹ × 103¹

Step-3: Factors of 16874

List of positive integer factors of 16874 that divides 16874 without a remainder.

1, 2, 11, 13, 22, 26, 59, 118, 143, 286, 649, 767, 1298, 1534, 8437

Step-4: Factors of 16892

List of positive integer factors of 16892 that divides 16874 without a remainder.

1, 2, 4, 41, 82, 103, 164, 206, 412, 4223, 8446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16874 and 16892. The biggest common factor number is the GCF number.
So the greatest common factor 16874 and 16892 is 2.

Also check out the Least Common Multiple of 16874 and 16892