What is the Greatest Common Factor of 19074 and 19091?

Greatest common factor (GCF) of 19074 and 19091 is 17.

GCF(19074,19091) = 17

We will now calculate the prime factors of 19074 and 19091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19074 and 19091.

How to find the GCF of 19074 and 19091?

We will first find the prime factorization of 19074 and 19091. After we will calculate the factors of 19074 and 19091 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19091

Prime factors of 19091 are 17, 1123. Prime factorization of 19091 in exponential form is:

19091 = 17¹ × 1123¹

Step-3: Factors of 19074

List of positive integer factors of 19074 that divides 19074 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

Step-4: Factors of 19091

List of positive integer factors of 19091 that divides 19074 without a remainder.

1, 17, 1123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19074 and 19091. The biggest common factor number is the GCF number.
So the greatest common factor 19074 and 19091 is 17.

Also check out the Least Common Multiple of 19074 and 19091