What is the Greatest Common Factor of 19376 and 19390?

Greatest common factor (GCF) of 19376 and 19390 is 14.

GCF(19376,19390) = 14

We will now calculate the prime factors of 19376 and 19390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19376 and 19390.

How to find the GCF of 19376 and 19390?

We will first find the prime factorization of 19376 and 19390. After we will calculate the factors of 19376 and 19390 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19390

Prime factors of 19390 are 2, 5, 7, 277. Prime factorization of 19390 in exponential form is:

19390 = 2¹ × 5¹ × 7¹ × 277¹

Step-3: Factors of 19376

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

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

Step-4: Factors of 19390

List of positive integer factors of 19390 that divides 19376 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 277, 554, 1385, 1939, 2770, 3878, 9695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19376 and 19390. The biggest common factor number is the GCF number.
So the greatest common factor 19376 and 19390 is 14.

Also check out the Least Common Multiple of 19376 and 19390