What is the Greatest Common Factor of 19272 and 19284?

Greatest common factor (GCF) of 19272 and 19284 is 12.

GCF(19272,19284) = 12

We will now calculate the prime factors of 19272 and 19284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19272 and 19284.

How to find the GCF of 19272 and 19284?

We will first find the prime factorization of 19272 and 19284. After we will calculate the factors of 19272 and 19284 and find the biggest common factor number .

Step-1: Prime Factorization of 19272

Prime factors of 19272 are 2, 3, 11, 73. Prime factorization of 19272 in exponential form is:

19272 = 2³ × 3¹ × 11¹ × 73¹

Step-2: Prime Factorization of 19284

Prime factors of 19284 are 2, 3, 1607. Prime factorization of 19284 in exponential form is:

19284 = 2² × 3¹ × 1607¹

Step-3: Factors of 19272

List of positive integer factors of 19272 that divides 19272 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 73, 88, 132, 146, 219, 264, 292, 438, 584, 803, 876, 1606, 1752, 2409, 3212, 4818, 6424, 9636

Step-4: Factors of 19284

List of positive integer factors of 19284 that divides 19272 without a remainder.

1, 2, 3, 4, 6, 12, 1607, 3214, 4821, 6428, 9642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19272 and 19284. The biggest common factor number is the GCF number.
So the greatest common factor 19272 and 19284 is 12.

Also check out the Least Common Multiple of 19272 and 19284