What is the Greatest Common Factor of 19365 and 19376?

Greatest common factor (GCF) of 19365 and 19376 is 1.

GCF(19365,19376) = 1

We will now calculate the prime factors of 19365 and 19376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19365 and 19376.

How to find the GCF of 19365 and 19376?

We will first find the prime factorization of 19365 and 19376. After we will calculate the factors of 19365 and 19376 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 19376

Prime factors of 19376 are 2, 7, 173. Prime factorization of 19376 in exponential form is:

19376 = 2⁴ × 7¹ × 173¹

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 19376

List of positive integer factors of 19376 that divides 19365 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 173, 346, 692, 1211, 1384, 2422, 2768, 4844, 9688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19365 and 19376. The biggest common factor number is the GCF number.
So the greatest common factor 19365 and 19376 is 1.

Also check out the Least Common Multiple of 19365 and 19376