What is the Greatest Common Factor of 19795 and 19815?

Greatest common factor (GCF) of 19795 and 19815 is 5.

GCF(19795,19815) = 5

We will now calculate the prime factors of 19795 and 19815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19795 and 19815.

How to find the GCF of 19795 and 19815?

We will first find the prime factorization of 19795 and 19815. After we will calculate the factors of 19795 and 19815 and find the biggest common factor number .

Step-1: Prime Factorization of 19795

Prime factors of 19795 are 5, 37, 107. Prime factorization of 19795 in exponential form is:

19795 = 5¹ × 37¹ × 107¹

Step-2: Prime Factorization of 19815

Prime factors of 19815 are 3, 5, 1321. Prime factorization of 19815 in exponential form is:

19815 = 3¹ × 5¹ × 1321¹

Step-3: Factors of 19795

List of positive integer factors of 19795 that divides 19795 without a remainder.

1, 5, 37, 107, 185, 535, 3959

Step-4: Factors of 19815

List of positive integer factors of 19815 that divides 19795 without a remainder.

1, 3, 5, 15, 1321, 3963, 6605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19795 and 19815. The biggest common factor number is the GCF number.
So the greatest common factor 19795 and 19815 is 5.

Also check out the Least Common Multiple of 19795 and 19815