What is the Greatest Common Factor of 19056 and 19074?

Greatest common factor (GCF) of 19056 and 19074 is 6.

GCF(19056,19074) = 6

We will now calculate the prime factors of 19056 and 19074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19056 and 19074.

How to find the GCF of 19056 and 19074?

We will first find the prime factorization of 19056 and 19074. After we will calculate the factors of 19056 and 19074 and find the biggest common factor number .

Step-1: Prime Factorization of 19056

Prime factors of 19056 are 2, 3, 397. Prime factorization of 19056 in exponential form is:

19056 = 2⁴ × 3¹ × 397¹

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 19056

List of positive integer factors of 19056 that divides 19056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 397, 794, 1191, 1588, 2382, 3176, 4764, 6352, 9528

Step-4: Factors of 19074

List of positive integer factors of 19074 that divides 19056 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 19056 and 19074. The biggest common factor number is the GCF number.
So the greatest common factor 19056 and 19074 is 6.

Also check out the Least Common Multiple of 19056 and 19074