What is the Greatest Common Factor of 19187 and 19201?

Greatest common factor (GCF) of 19187 and 19201 is 7.

GCF(19187,19201) = 7

We will now calculate the prime factors of 19187 and 19201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19187 and 19201.

How to find the GCF of 19187 and 19201?

We will first find the prime factorization of 19187 and 19201. After we will calculate the factors of 19187 and 19201 and find the biggest common factor number .

Step-1: Prime Factorization of 19187

Prime factors of 19187 are 7, 2741. Prime factorization of 19187 in exponential form is:

19187 = 7¹ × 2741¹

Step-2: 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-3: Factors of 19187

List of positive integer factors of 19187 that divides 19187 without a remainder.

1, 7, 2741

Step-4: Factors of 19201

List of positive integer factors of 19201 that divides 19187 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19187 and 19201. The biggest common factor number is the GCF number.
So the greatest common factor 19187 and 19201 is 7.

Also check out the Least Common Multiple of 19187 and 19201