What is the Greatest Common Factor of 19365 and 19374?

Greatest common factor (GCF) of 19365 and 19374 is 3.

GCF(19365,19374) = 3

We will now calculate the prime factors of 19365 and 19374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19365 and 19374.

How to find the GCF of 19365 and 19374?

We will first find the prime factorization of 19365 and 19374. After we will calculate the factors of 19365 and 19374 and find the biggest common factor number .

Step-1: Prime Factorization of 19365

Prime factors of 19365 are 3, 5, 1291. Prime factorization of 19365 in exponential form is:

19365 = 3¹ × 5¹ × 1291¹

Step-2: Prime Factorization of 19374

Prime factors of 19374 are 2, 3, 3229. Prime factorization of 19374 in exponential form is:

19374 = 2¹ × 3¹ × 3229¹

Step-3: Factors of 19365

List of positive integer factors of 19365 that divides 19365 without a remainder.

1, 3, 5, 15, 1291, 3873, 6455

Step-4: Factors of 19374

List of positive integer factors of 19374 that divides 19365 without a remainder.

1, 2, 3, 6, 3229, 6458, 9687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19365 and 19374. The biggest common factor number is the GCF number.
So the greatest common factor 19365 and 19374 is 3.

Also check out the Least Common Multiple of 19365 and 19374