What is the Greatest Common Factor of 19205 and 19225?

Greatest common factor (GCF) of 19205 and 19225 is 5.

GCF(19205,19225) = 5

We will now calculate the prime factors of 19205 and 19225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19205 and 19225.

How to find the GCF of 19205 and 19225?

We will first find the prime factorization of 19205 and 19225. After we will calculate the factors of 19205 and 19225 and find the biggest common factor number .

Step-1: Prime Factorization of 19205

Prime factors of 19205 are 5, 23, 167. Prime factorization of 19205 in exponential form is:

19205 = 5¹ × 23¹ × 167¹

Step-2: Prime Factorization of 19225

Prime factors of 19225 are 5, 769. Prime factorization of 19225 in exponential form is:

19225 = 5² × 769¹

Step-3: Factors of 19205

List of positive integer factors of 19205 that divides 19205 without a remainder.

1, 5, 23, 115, 167, 835, 3841

Step-4: Factors of 19225

List of positive integer factors of 19225 that divides 19205 without a remainder.

1, 5, 25, 769, 3845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19205 and 19225. The biggest common factor number is the GCF number.
So the greatest common factor 19205 and 19225 is 5.

Also check out the Least Common Multiple of 19205 and 19225