What is the Greatest Common Factor of 19038 and 19050?

Greatest common factor (GCF) of 19038 and 19050 is 6.

GCF(19038,19050) = 6

We will now calculate the prime factors of 19038 and 19050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19038 and 19050.

How to find the GCF of 19038 and 19050?

We will first find the prime factorization of 19038 and 19050. After we will calculate the factors of 19038 and 19050 and find the biggest common factor number .

Step-1: Prime Factorization of 19038

Prime factors of 19038 are 2, 3, 19, 167. Prime factorization of 19038 in exponential form is:

19038 = 2¹ × 3¹ × 19¹ × 167¹

Step-2: 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-3: Factors of 19038

List of positive integer factors of 19038 that divides 19038 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 167, 334, 501, 1002, 3173, 6346, 9519

Step-4: Factors of 19050

List of positive integer factors of 19050 that divides 19038 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19038 and 19050. The biggest common factor number is the GCF number.
So the greatest common factor 19038 and 19050 is 6.

Also check out the Least Common Multiple of 19038 and 19050