What is the Greatest Common Factor of 19056 and 19068?

Greatest common factor (GCF) of 19056 and 19068 is 12.

GCF(19056,19068) = 12

We will now calculate the prime factors of 19056 and 19068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19056 and 19068.

How to find the GCF of 19056 and 19068?

We will first find the prime factorization of 19056 and 19068. After we will calculate the factors of 19056 and 19068 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 19068

Prime factors of 19068 are 2, 3, 7, 227. Prime factorization of 19068 in exponential form is:

19068 = 2² × 3¹ × 7¹ × 227¹

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 19068

List of positive integer factors of 19068 that divides 19056 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 227, 454, 681, 908, 1362, 1589, 2724, 3178, 4767, 6356, 9534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19056 and 19068. The biggest common factor number is the GCF number.
So the greatest common factor 19056 and 19068 is 12.

Also check out the Least Common Multiple of 19056 and 19068