What is the Greatest Common Factor of 19080 and 19098?

Greatest common factor (GCF) of 19080 and 19098 is 18.

GCF(19080,19098) = 18

We will now calculate the prime factors of 19080 and 19098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19080 and 19098.

How to find the GCF of 19080 and 19098?

We will first find the prime factorization of 19080 and 19098. After we will calculate the factors of 19080 and 19098 and find the biggest common factor number .

Step-1: Prime Factorization of 19080

Prime factors of 19080 are 2, 3, 5, 53. Prime factorization of 19080 in exponential form is:

19080 = 2³ × 3² × 5¹ × 53¹

Step-2: Prime Factorization of 19098

Prime factors of 19098 are 2, 3, 1061. Prime factorization of 19098 in exponential form is:

19098 = 2¹ × 3² × 1061¹

Step-3: Factors of 19080

List of positive integer factors of 19080 that divides 19080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 53, 60, 72, 90, 106, 120, 159, 180, 212, 265, 318, 360, 424, 477, 530, 636, 795, 954, 1060, 1272, 1590, 1908, 2120, 2385, 3180, 3816, 4770, 6360, 9540

Step-4: Factors of 19098

List of positive integer factors of 19098 that divides 19080 without a remainder.

1, 2, 3, 6, 9, 18, 1061, 2122, 3183, 6366, 9549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19080 and 19098. The biggest common factor number is the GCF number.
So the greatest common factor 19080 and 19098 is 18.

Also check out the Least Common Multiple of 19080 and 19098