What is the Greatest Common Factor of 17798 and 17809?

Greatest common factor (GCF) of 17798 and 17809 is 11.

GCF(17798,17809) = 11

We will now calculate the prime factors of 17798 and 17809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17798 and 17809.

How to find the GCF of 17798 and 17809?

We will first find the prime factorization of 17798 and 17809. After we will calculate the factors of 17798 and 17809 and find the biggest common factor number .

Step-1: Prime Factorization of 17798

Prime factors of 17798 are 2, 11, 809. Prime factorization of 17798 in exponential form is:

17798 = 2¹ × 11¹ × 809¹

Step-2: Prime Factorization of 17809

Prime factors of 17809 are 11, 1619. Prime factorization of 17809 in exponential form is:

17809 = 11¹ × 1619¹

Step-3: Factors of 17798

List of positive integer factors of 17798 that divides 17798 without a remainder.

1, 2, 11, 22, 809, 1618, 8899

Step-4: Factors of 17809

List of positive integer factors of 17809 that divides 17798 without a remainder.

1, 11, 1619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17798 and 17809. The biggest common factor number is the GCF number.
So the greatest common factor 17798 and 17809 is 11.

Also check out the Least Common Multiple of 17798 and 17809