What is the Greatest Common Factor of 19050 and 19059?

Greatest common factor (GCF) of 19050 and 19059 is 3.

GCF(19050,19059) = 3

We will now calculate the prime factors of 19050 and 19059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19050 and 19059.

How to find the GCF of 19050 and 19059?

We will first find the prime factorization of 19050 and 19059. After we will calculate the factors of 19050 and 19059 and find the biggest common factor number .

Step-1: Prime Factorization of 19050

Prime factors of 19050 are 2, 3, 5, 127. Prime factorization of 19050 in exponential form is:

19050 = 2¹ × 3¹ × 5² × 127¹

Step-2: Prime Factorization of 19059

Prime factors of 19059 are 3, 6353. Prime factorization of 19059 in exponential form is:

19059 = 3¹ × 6353¹

Step-3: Factors of 19050

List of positive integer factors of 19050 that divides 19050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 127, 150, 254, 381, 635, 762, 1270, 1905, 3175, 3810, 6350, 9525

Step-4: Factors of 19059

List of positive integer factors of 19059 that divides 19050 without a remainder.

1, 3, 6353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19050 and 19059. The biggest common factor number is the GCF number.
So the greatest common factor 19050 and 19059 is 3.

Also check out the Least Common Multiple of 19050 and 19059