What is the Greatest Common Factor of 19533 and 19542?

Greatest common factor (GCF) of 19533 and 19542 is 3.

GCF(19533,19542) = 3

We will now calculate the prime factors of 19533 and 19542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19533 and 19542.

How to find the GCF of 19533 and 19542?

We will first find the prime factorization of 19533 and 19542. After we will calculate the factors of 19533 and 19542 and find the biggest common factor number .

Step-1: Prime Factorization of 19533

Prime factors of 19533 are 3, 17, 383. Prime factorization of 19533 in exponential form is:

19533 = 3¹ × 17¹ × 383¹

Step-2: Prime Factorization of 19542

Prime factors of 19542 are 2, 3, 3257. Prime factorization of 19542 in exponential form is:

19542 = 2¹ × 3¹ × 3257¹

Step-3: Factors of 19533

List of positive integer factors of 19533 that divides 19533 without a remainder.

1, 3, 17, 51, 383, 1149, 6511

Step-4: Factors of 19542

List of positive integer factors of 19542 that divides 19533 without a remainder.

1, 2, 3, 6, 3257, 6514, 9771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19533 and 19542. The biggest common factor number is the GCF number.
So the greatest common factor 19533 and 19542 is 3.

Also check out the Least Common Multiple of 19533 and 19542