What is the Greatest Common Factor of 18998 and 19010?

Greatest common factor (GCF) of 18998 and 19010 is 2.

GCF(18998,19010) = 2

We will now calculate the prime factors of 18998 and 19010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18998 and 19010.

How to find the GCF of 18998 and 19010?

We will first find the prime factorization of 18998 and 19010. After we will calculate the factors of 18998 and 19010 and find the biggest common factor number .

Step-1: Prime Factorization of 18998

Prime factors of 18998 are 2, 7, 23, 59. Prime factorization of 18998 in exponential form is:

18998 = 2¹ × 7¹ × 23¹ × 59¹

Step-2: Prime Factorization of 19010

Prime factors of 19010 are 2, 5, 1901. Prime factorization of 19010 in exponential form is:

19010 = 2¹ × 5¹ × 1901¹

Step-3: Factors of 18998

List of positive integer factors of 18998 that divides 18998 without a remainder.

1, 2, 7, 14, 23, 46, 59, 118, 161, 322, 413, 826, 1357, 2714, 9499

Step-4: Factors of 19010

List of positive integer factors of 19010 that divides 18998 without a remainder.

1, 2, 5, 10, 1901, 3802, 9505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18998 and 19010. The biggest common factor number is the GCF number.
So the greatest common factor 18998 and 19010 is 2.

Also check out the Least Common Multiple of 18998 and 19010