What is the Greatest Common Factor of 19515 and 19533?

Greatest common factor (GCF) of 19515 and 19533 is 3.

GCF(19515,19533) = 3

We will now calculate the prime factors of 19515 and 19533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19515 and 19533.

How to find the GCF of 19515 and 19533?

We will first find the prime factorization of 19515 and 19533. After we will calculate the factors of 19515 and 19533 and find the biggest common factor number .

Step-1: Prime Factorization of 19515

Prime factors of 19515 are 3, 5, 1301. Prime factorization of 19515 in exponential form is:

19515 = 3¹ × 5¹ × 1301¹

Step-2: 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-3: Factors of 19515

List of positive integer factors of 19515 that divides 19515 without a remainder.

1, 3, 5, 15, 1301, 3903, 6505

Step-4: Factors of 19533

List of positive integer factors of 19533 that divides 19515 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19515 and 19533. The biggest common factor number is the GCF number.
So the greatest common factor 19515 and 19533 is 3.

Also check out the Least Common Multiple of 19515 and 19533