What is the Greatest Common Factor of 17885 and 17899?

Greatest common factor (GCF) of 17885 and 17899 is 7.

GCF(17885,17899) = 7

We will now calculate the prime factors of 17885 and 17899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17885 and 17899.

How to find the GCF of 17885 and 17899?

We will first find the prime factorization of 17885 and 17899. After we will calculate the factors of 17885 and 17899 and find the biggest common factor number .

Step-1: Prime Factorization of 17885

Prime factors of 17885 are 5, 7, 73. Prime factorization of 17885 in exponential form is:

17885 = 5¹ × 7² × 73¹

Step-2: Prime Factorization of 17899

Prime factors of 17899 are 7, 2557. Prime factorization of 17899 in exponential form is:

17899 = 7¹ × 2557¹

Step-3: Factors of 17885

List of positive integer factors of 17885 that divides 17885 without a remainder.

1, 5, 7, 35, 49, 73, 245, 365, 511, 2555, 3577

Step-4: Factors of 17899

List of positive integer factors of 17899 that divides 17885 without a remainder.

1, 7, 2557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17885 and 17899. The biggest common factor number is the GCF number.
So the greatest common factor 17885 and 17899 is 7.

Also check out the Least Common Multiple of 17885 and 17899