What is the Greatest Common Factor of 19357 and 19376?

Greatest common factor (GCF) of 19357 and 19376 is 1.

GCF(19357,19376) = 1

We will now calculate the prime factors of 19357 and 19376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19357 and 19376.

How to find the GCF of 19357 and 19376?

We will first find the prime factorization of 19357 and 19376. After we will calculate the factors of 19357 and 19376 and find the biggest common factor number .

Step-1: Prime Factorization of 19357

Prime factors of 19357 are 13, 1489. Prime factorization of 19357 in exponential form is:

19357 = 13¹ × 1489¹

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 19357

List of positive integer factors of 19357 that divides 19357 without a remainder.

1, 13, 1489

Step-4: Factors of 19376

List of positive integer factors of 19376 that divides 19357 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 19357 and 19376. The biggest common factor number is the GCF number.
So the greatest common factor 19357 and 19376 is 1.

Also check out the Least Common Multiple of 19357 and 19376