What is the Greatest Common Factor of 17400 and 17419?

Greatest common factor (GCF) of 17400 and 17419 is 1.

GCF(17400,17419) = 1

We will now calculate the prime factors of 17400 and 17419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17400 and 17419.

How to find the GCF of 17400 and 17419?

We will first find the prime factorization of 17400 and 17419. After we will calculate the factors of 17400 and 17419 and find the biggest common factor number .

Step-1: Prime Factorization of 17400

Prime factors of 17400 are 2, 3, 5, 29. Prime factorization of 17400 in exponential form is:

17400 = 2³ × 3¹ × 5² × 29¹

Step-2: Prime Factorization of 17419

Prime factors of 17419 are 17419. Prime factorization of 17419 in exponential form is:

17419 = 17419¹

Step-3: Factors of 17400

List of positive integer factors of 17400 that divides 17400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 29, 30, 40, 50, 58, 60, 75, 87, 100, 116, 120, 145, 150, 174, 200, 232, 290, 300, 348, 435, 580, 600, 696, 725, 870, 1160, 1450, 1740, 2175, 2900, 3480, 4350, 5800, 8700

Step-4: Factors of 17419

List of positive integer factors of 17419 that divides 17400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17400 and 17419. The biggest common factor number is the GCF number.
So the greatest common factor 17400 and 17419 is 1.

Also check out the Least Common Multiple of 17400 and 17419