What is the Greatest Common Factor of 16900 and 16905?

Greatest common factor (GCF) of 16900 and 16905 is 5.

GCF(16900,16905) = 5

We will now calculate the prime factors of 16900 and 16905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16900 and 16905.

How to find the GCF of 16900 and 16905?

We will first find the prime factorization of 16900 and 16905. After we will calculate the factors of 16900 and 16905 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16905

Prime factors of 16905 are 3, 5, 7, 23. Prime factorization of 16905 in exponential form is:

16905 = 3¹ × 5¹ × 7² × 23¹

Step-3: Factors of 16900

List of positive integer factors of 16900 that divides 16900 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

Step-4: Factors of 16905

List of positive integer factors of 16905 that divides 16900 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 49, 69, 105, 115, 147, 161, 245, 345, 483, 735, 805, 1127, 2415, 3381, 5635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16900 and 16905. The biggest common factor number is the GCF number.
So the greatest common factor 16900 and 16905 is 5.

Also check out the Least Common Multiple of 16900 and 16905