What is the Greatest Common Factor of 19248 and 19253?

Greatest common factor (GCF) of 19248 and 19253 is 1.

GCF(19248,19253) = 1

We will now calculate the prime factors of 19248 and 19253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19248 and 19253.

How to find the GCF of 19248 and 19253?

We will first find the prime factorization of 19248 and 19253. After we will calculate the factors of 19248 and 19253 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 19253

Prime factors of 19253 are 13, 1481. Prime factorization of 19253 in exponential form is:

19253 = 13¹ × 1481¹

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 19253

List of positive integer factors of 19253 that divides 19248 without a remainder.

1, 13, 1481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19248 and 19253. The biggest common factor number is the GCF number.
So the greatest common factor 19248 and 19253 is 1.

Also check out the Least Common Multiple of 19248 and 19253