What is the Greatest Common Factor of 19038 and 19057?

Greatest common factor (GCF) of 19038 and 19057 is 19.

GCF(19038,19057) = 19

We will now calculate the prime factors of 19038 and 19057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19038 and 19057.

How to find the GCF of 19038 and 19057?

We will first find the prime factorization of 19038 and 19057. After we will calculate the factors of 19038 and 19057 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 19057

Prime factors of 19057 are 17, 19, 59. Prime factorization of 19057 in exponential form is:

19057 = 17¹ × 19¹ × 59¹

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 19057

List of positive integer factors of 19057 that divides 19038 without a remainder.

1, 17, 19, 59, 323, 1003, 1121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19038 and 19057. The biggest common factor number is the GCF number.
So the greatest common factor 19038 and 19057 is 19.

Also check out the Least Common Multiple of 19038 and 19057