What is the Greatest Common Factor of 19242 and 19260?

Greatest common factor (GCF) of 19242 and 19260 is 18.

GCF(19242,19260) = 18

We will now calculate the prime factors of 19242 and 19260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19242 and 19260.

How to find the GCF of 19242 and 19260?

We will first find the prime factorization of 19242 and 19260. After we will calculate the factors of 19242 and 19260 and find the biggest common factor number .

Step-1: Prime Factorization of 19242

Prime factors of 19242 are 2, 3, 1069. Prime factorization of 19242 in exponential form is:

19242 = 2¹ × 3² × 1069¹

Step-2: Prime Factorization of 19260

Prime factors of 19260 are 2, 3, 5, 107. Prime factorization of 19260 in exponential form is:

19260 = 2² × 3² × 5¹ × 107¹

Step-3: Factors of 19242

List of positive integer factors of 19242 that divides 19242 without a remainder.

1, 2, 3, 6, 9, 18, 1069, 2138, 3207, 6414, 9621

Step-4: Factors of 19260

List of positive integer factors of 19260 that divides 19242 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 107, 180, 214, 321, 428, 535, 642, 963, 1070, 1284, 1605, 1926, 2140, 3210, 3852, 4815, 6420, 9630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19242 and 19260. The biggest common factor number is the GCF number.
So the greatest common factor 19242 and 19260 is 18.

Also check out the Least Common Multiple of 19242 and 19260