What is the Greatest Common Factor of 19059 and 19074?

Greatest common factor (GCF) of 19059 and 19074 is 3.

GCF(19059,19074) = 3

We will now calculate the prime factors of 19059 and 19074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19059 and 19074.

How to find the GCF of 19059 and 19074?

We will first find the prime factorization of 19059 and 19074. After we will calculate the factors of 19059 and 19074 and find the biggest common factor number .

Step-1: Prime Factorization of 19059

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

19059 = 3¹ × 6353¹

Step-2: Prime Factorization of 19074

Prime factors of 19074 are 2, 3, 11, 17. Prime factorization of 19074 in exponential form is:

19074 = 2¹ × 3¹ × 11¹ × 17²

Step-3: Factors of 19059

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

1, 3, 6353

Step-4: Factors of 19074

List of positive integer factors of 19074 that divides 19059 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 289, 374, 561, 578, 867, 1122, 1734, 3179, 6358, 9537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19059 and 19074. The biggest common factor number is the GCF number.
So the greatest common factor 19059 and 19074 is 3.

Also check out the Least Common Multiple of 19059 and 19074