What is the Greatest Common Factor of 19348 and 19359?

Greatest common factor (GCF) of 19348 and 19359 is 1.

GCF(19348,19359) = 1

We will now calculate the prime factors of 19348 and 19359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19348 and 19359.

How to find the GCF of 19348 and 19359?

We will first find the prime factorization of 19348 and 19359. After we will calculate the factors of 19348 and 19359 and find the biggest common factor number .

Step-1: Prime Factorization of 19348

Prime factors of 19348 are 2, 7, 691. Prime factorization of 19348 in exponential form is:

19348 = 2² × 7¹ × 691¹

Step-2: Prime Factorization of 19359

Prime factors of 19359 are 3, 239. Prime factorization of 19359 in exponential form is:

19359 = 3⁴ × 239¹

Step-3: Factors of 19348

List of positive integer factors of 19348 that divides 19348 without a remainder.

1, 2, 4, 7, 14, 28, 691, 1382, 2764, 4837, 9674

Step-4: Factors of 19359

List of positive integer factors of 19359 that divides 19348 without a remainder.

1, 3, 9, 27, 81, 239, 717, 2151, 6453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19348 and 19359. The biggest common factor number is the GCF number.
So the greatest common factor 19348 and 19359 is 1.

Also check out the Least Common Multiple of 19348 and 19359