What is the Greatest Common Factor of 16910 and 16930?

Greatest common factor (GCF) of 16910 and 16930 is 10.

GCF(16910,16930) = 10

We will now calculate the prime factors of 16910 and 16930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16910 and 16930.

How to find the GCF of 16910 and 16930?

We will first find the prime factorization of 16910 and 16930. After we will calculate the factors of 16910 and 16930 and find the biggest common factor number .

Step-1: Prime Factorization of 16910

Prime factors of 16910 are 2, 5, 19, 89. Prime factorization of 16910 in exponential form is:

16910 = 2¹ × 5¹ × 19¹ × 89¹

Step-2: Prime Factorization of 16930

Prime factors of 16930 are 2, 5, 1693. Prime factorization of 16930 in exponential form is:

16930 = 2¹ × 5¹ × 1693¹

Step-3: Factors of 16910

List of positive integer factors of 16910 that divides 16910 without a remainder.

1, 2, 5, 10, 19, 38, 89, 95, 178, 190, 445, 890, 1691, 3382, 8455

Step-4: Factors of 16930

List of positive integer factors of 16930 that divides 16910 without a remainder.

1, 2, 5, 10, 1693, 3386, 8465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16910 and 16930. The biggest common factor number is the GCF number.
So the greatest common factor 16910 and 16930 is 10.

Also check out the Least Common Multiple of 16910 and 16930