What is the Greatest Common Factor of 19645 and 19665?

Greatest common factor (GCF) of 19645 and 19665 is 5.

GCF(19645,19665) = 5

We will now calculate the prime factors of 19645 and 19665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19645 and 19665.

How to find the GCF of 19645 and 19665?

We will first find the prime factorization of 19645 and 19665. After we will calculate the factors of 19645 and 19665 and find the biggest common factor number .

Step-1: Prime Factorization of 19645

Prime factors of 19645 are 5, 3929. Prime factorization of 19645 in exponential form is:

19645 = 5¹ × 3929¹

Step-2: Prime Factorization of 19665

Prime factors of 19665 are 3, 5, 19, 23. Prime factorization of 19665 in exponential form is:

19665 = 3² × 5¹ × 19¹ × 23¹

Step-3: Factors of 19645

List of positive integer factors of 19645 that divides 19645 without a remainder.

1, 5, 3929

Step-4: Factors of 19665

List of positive integer factors of 19665 that divides 19645 without a remainder.

1, 3, 5, 9, 15, 19, 23, 45, 57, 69, 95, 115, 171, 207, 285, 345, 437, 855, 1035, 1311, 2185, 3933, 6555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19645 and 19665. The biggest common factor number is the GCF number.
So the greatest common factor 19645 and 19665 is 5.

Also check out the Least Common Multiple of 19645 and 19665