What is the Greatest Common Factor of 19038 and 19052?

Greatest common factor (GCF) of 19038 and 19052 is 2.

GCF(19038,19052) = 2

We will now calculate the prime factors of 19038 and 19052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19038 and 19052.

How to find the GCF of 19038 and 19052?

We will first find the prime factorization of 19038 and 19052. After we will calculate the factors of 19038 and 19052 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 19052

Prime factors of 19052 are 2, 11, 433. Prime factorization of 19052 in exponential form is:

19052 = 2² × 11¹ × 433¹

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 19052

List of positive integer factors of 19052 that divides 19038 without a remainder.

1, 2, 4, 11, 22, 44, 433, 866, 1732, 4763, 9526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19038 and 19052. The biggest common factor number is the GCF number.
So the greatest common factor 19038 and 19052 is 2.

Also check out the Least Common Multiple of 19038 and 19052