What is the Greatest Common Factor of 19506 and 19518?

Greatest common factor (GCF) of 19506 and 19518 is 6.

GCF(19506,19518) = 6

We will now calculate the prime factors of 19506 and 19518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19506 and 19518.

How to find the GCF of 19506 and 19518?

We will first find the prime factorization of 19506 and 19518. After we will calculate the factors of 19506 and 19518 and find the biggest common factor number .

Step-1: Prime Factorization of 19506

Prime factors of 19506 are 2, 3, 3251. Prime factorization of 19506 in exponential form is:

19506 = 2¹ × 3¹ × 3251¹

Step-2: Prime Factorization of 19518

Prime factors of 19518 are 2, 3, 3253. Prime factorization of 19518 in exponential form is:

19518 = 2¹ × 3¹ × 3253¹

Step-3: Factors of 19506

List of positive integer factors of 19506 that divides 19506 without a remainder.

1, 2, 3, 6, 3251, 6502, 9753

Step-4: Factors of 19518

List of positive integer factors of 19518 that divides 19506 without a remainder.

1, 2, 3, 6, 3253, 6506, 9759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19506 and 19518. The biggest common factor number is the GCF number.
So the greatest common factor 19506 and 19518 is 6.

Also check out the Least Common Multiple of 19506 and 19518