What is the Greatest Common Factor of 19563 and 19578?

Greatest common factor (GCF) of 19563 and 19578 is 3.

GCF(19563,19578) = 3

We will now calculate the prime factors of 19563 and 19578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19563 and 19578.

How to find the GCF of 19563 and 19578?

We will first find the prime factorization of 19563 and 19578. After we will calculate the factors of 19563 and 19578 and find the biggest common factor number .

Step-1: Prime Factorization of 19563

Prime factors of 19563 are 3, 6521. Prime factorization of 19563 in exponential form is:

19563 = 3¹ × 6521¹

Step-2: Prime Factorization of 19578

Prime factors of 19578 are 2, 3, 13, 251. Prime factorization of 19578 in exponential form is:

19578 = 2¹ × 3¹ × 13¹ × 251¹

Step-3: Factors of 19563

List of positive integer factors of 19563 that divides 19563 without a remainder.

1, 3, 6521

Step-4: Factors of 19578

List of positive integer factors of 19578 that divides 19563 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 251, 502, 753, 1506, 3263, 6526, 9789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19563 and 19578. The biggest common factor number is the GCF number.
So the greatest common factor 19563 and 19578 is 3.

Also check out the Least Common Multiple of 19563 and 19578