What is the Greatest Common Factor of 19545 and 19557?

Greatest common factor (GCF) of 19545 and 19557 is 3.

GCF(19545,19557) = 3

We will now calculate the prime factors of 19545 and 19557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19545 and 19557.

How to find the GCF of 19545 and 19557?

We will first find the prime factorization of 19545 and 19557. After we will calculate the factors of 19545 and 19557 and find the biggest common factor number .

Step-1: Prime Factorization of 19545

Prime factors of 19545 are 3, 5, 1303. Prime factorization of 19545 in exponential form is:

19545 = 3¹ × 5¹ × 1303¹

Step-2: Prime Factorization of 19557

Prime factors of 19557 are 3, 41, 53. Prime factorization of 19557 in exponential form is:

19557 = 3² × 41¹ × 53¹

Step-3: Factors of 19545

List of positive integer factors of 19545 that divides 19545 without a remainder.

1, 3, 5, 15, 1303, 3909, 6515

Step-4: Factors of 19557

List of positive integer factors of 19557 that divides 19545 without a remainder.

1, 3, 9, 41, 53, 123, 159, 369, 477, 2173, 6519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19545 and 19557. The biggest common factor number is the GCF number.
So the greatest common factor 19545 and 19557 is 3.

Also check out the Least Common Multiple of 19545 and 19557