What is the Greatest Common Factor of 19257 and 19272?

Greatest common factor (GCF) of 19257 and 19272 is 3.

GCF(19257,19272) = 3

We will now calculate the prime factors of 19257 and 19272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19257 and 19272.

How to find the GCF of 19257 and 19272?

We will first find the prime factorization of 19257 and 19272. After we will calculate the factors of 19257 and 19272 and find the biggest common factor number .

Step-1: Prime Factorization of 19257

Prime factors of 19257 are 3, 7, 131. Prime factorization of 19257 in exponential form is:

19257 = 3¹ × 7² × 131¹

Step-2: 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-3: Factors of 19257

List of positive integer factors of 19257 that divides 19257 without a remainder.

1, 3, 7, 21, 49, 131, 147, 393, 917, 2751, 6419

Step-4: Factors of 19272

List of positive integer factors of 19272 that divides 19257 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19257 and 19272. The biggest common factor number is the GCF number.
So the greatest common factor 19257 and 19272 is 3.

Also check out the Least Common Multiple of 19257 and 19272