What is the Greatest Common Factor of 17890 and 17910?

Greatest common factor (GCF) of 17890 and 17910 is 10.

GCF(17890,17910) = 10

We will now calculate the prime factors of 17890 and 17910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17890 and 17910.

How to find the GCF of 17890 and 17910?

We will first find the prime factorization of 17890 and 17910. After we will calculate the factors of 17890 and 17910 and find the biggest common factor number .

Step-1: Prime Factorization of 17890

Prime factors of 17890 are 2, 5, 1789. Prime factorization of 17890 in exponential form is:

17890 = 2¹ × 5¹ × 1789¹

Step-2: Prime Factorization of 17910

Prime factors of 17910 are 2, 3, 5, 199. Prime factorization of 17910 in exponential form is:

17910 = 2¹ × 3² × 5¹ × 199¹

Step-3: Factors of 17890

List of positive integer factors of 17890 that divides 17890 without a remainder.

1, 2, 5, 10, 1789, 3578, 8945

Step-4: Factors of 17910

List of positive integer factors of 17910 that divides 17890 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 199, 398, 597, 995, 1194, 1791, 1990, 2985, 3582, 5970, 8955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17890 and 17910. The biggest common factor number is the GCF number.
So the greatest common factor 17890 and 17910 is 10.

Also check out the Least Common Multiple of 17890 and 17910