What is the Greatest Common Factor of 16890 and 16900?

Greatest common factor (GCF) of 16890 and 16900 is 10.

GCF(16890,16900) = 10

We will now calculate the prime factors of 16890 and 16900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16890 and 16900.

How to find the GCF of 16890 and 16900?

We will first find the prime factorization of 16890 and 16900. After we will calculate the factors of 16890 and 16900 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16900

Prime factors of 16900 are 2, 5, 13. Prime factorization of 16900 in exponential form is:

16900 = 2² × 5² × 13²

Step-3: Factors of 16890

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

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

Step-4: Factors of 16900

List of positive integer factors of 16900 that divides 16890 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16890 and 16900. The biggest common factor number is the GCF number.
So the greatest common factor 16890 and 16900 is 10.

Also check out the Least Common Multiple of 16890 and 16900