What is the Greatest Common Factor of 19201 and 19218?

Greatest common factor (GCF) of 19201 and 19218 is 1.

GCF(19201,19218) = 1

We will now calculate the prime factors of 19201 and 19218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19201 and 19218.

How to find the GCF of 19201 and 19218?

We will first find the prime factorization of 19201 and 19218. After we will calculate the factors of 19201 and 19218 and find the biggest common factor number .

Step-1: Prime Factorization of 19201

Prime factors of 19201 are 7, 13, 211. Prime factorization of 19201 in exponential form is:

19201 = 7¹ × 13¹ × 211¹

Step-2: Prime Factorization of 19218

Prime factors of 19218 are 2, 3, 3203. Prime factorization of 19218 in exponential form is:

19218 = 2¹ × 3¹ × 3203¹

Step-3: Factors of 19201

List of positive integer factors of 19201 that divides 19201 without a remainder.

1, 7, 13, 91, 211, 1477, 2743

Step-4: Factors of 19218

List of positive integer factors of 19218 that divides 19201 without a remainder.

1, 2, 3, 6, 3203, 6406, 9609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19201 and 19218. The biggest common factor number is the GCF number.
So the greatest common factor 19201 and 19218 is 1.

Also check out the Least Common Multiple of 19201 and 19218