What is the Greatest Common Factor of 19050 and 19062?

Greatest common factor (GCF) of 19050 and 19062 is 6.

GCF(19050,19062) = 6

We will now calculate the prime factors of 19050 and 19062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19050 and 19062.

How to find the GCF of 19050 and 19062?

We will first find the prime factorization of 19050 and 19062. After we will calculate the factors of 19050 and 19062 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 19062

Prime factors of 19062 are 2, 3, 353. Prime factorization of 19062 in exponential form is:

19062 = 2¹ × 3³ × 353¹

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 19062

List of positive integer factors of 19062 that divides 19050 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 353, 706, 1059, 2118, 3177, 6354, 9531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19050 and 19062. The biggest common factor number is the GCF number.
So the greatest common factor 19050 and 19062 is 6.

Also check out the Least Common Multiple of 19050 and 19062