What is the Greatest Common Factor of 16874 and 16890?

Greatest common factor (GCF) of 16874 and 16890 is 2.

GCF(16874,16890) = 2

We will now calculate the prime factors of 16874 and 16890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16874 and 16890.

How to find the GCF of 16874 and 16890?

We will first find the prime factorization of 16874 and 16890. After we will calculate the factors of 16874 and 16890 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 16890

Prime factors of 16890 are 2, 3, 5, 563. Prime factorization of 16890 in exponential form is:

16890 = 2¹ × 3¹ × 5¹ × 563¹

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 16890

List of positive integer factors of 16890 that divides 16874 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 563, 1126, 1689, 2815, 3378, 5630, 8445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16874 and 16890. The biggest common factor number is the GCF number.
So the greatest common factor 16874 and 16890 is 2.

Also check out the Least Common Multiple of 16874 and 16890