What is the Greatest Common Factor of 19245 and 19265?

Greatest common factor (GCF) of 19245 and 19265 is 5.

GCF(19245,19265) = 5

We will now calculate the prime factors of 19245 and 19265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19245 and 19265.

How to find the GCF of 19245 and 19265?

We will first find the prime factorization of 19245 and 19265. After we will calculate the factors of 19245 and 19265 and find the biggest common factor number .

Step-1: Prime Factorization of 19245

Prime factors of 19245 are 3, 5, 1283. Prime factorization of 19245 in exponential form is:

19245 = 3¹ × 5¹ × 1283¹

Step-2: Prime Factorization of 19265

Prime factors of 19265 are 5, 3853. Prime factorization of 19265 in exponential form is:

19265 = 5¹ × 3853¹

Step-3: Factors of 19245

List of positive integer factors of 19245 that divides 19245 without a remainder.

1, 3, 5, 15, 1283, 3849, 6415

Step-4: Factors of 19265

List of positive integer factors of 19265 that divides 19245 without a remainder.

1, 5, 3853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19245 and 19265. The biggest common factor number is the GCF number.
So the greatest common factor 19245 and 19265 is 5.

Also check out the Least Common Multiple of 19245 and 19265