What is the Greatest Common Factor of 19248 and 19257?

Greatest common factor (GCF) of 19248 and 19257 is 3.

GCF(19248,19257) = 3

We will now calculate the prime factors of 19248 and 19257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19248 and 19257.

How to find the GCF of 19248 and 19257?

We will first find the prime factorization of 19248 and 19257. After we will calculate the factors of 19248 and 19257 and find the biggest common factor number .

Step-1: Prime Factorization of 19248

Prime factors of 19248 are 2, 3, 401. Prime factorization of 19248 in exponential form is:

19248 = 2⁴ × 3¹ × 401¹

Step-2: 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-3: Factors of 19248

List of positive integer factors of 19248 that divides 19248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 401, 802, 1203, 1604, 2406, 3208, 4812, 6416, 9624

Step-4: Factors of 19257

List of positive integer factors of 19257 that divides 19248 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19248 and 19257. The biggest common factor number is the GCF number.
So the greatest common factor 19248 and 19257 is 3.

Also check out the Least Common Multiple of 19248 and 19257