What is the Greatest Common Factor of 19240 and 19253?

Greatest common factor (GCF) of 19240 and 19253 is 13.

GCF(19240,19253) = 13

We will now calculate the prime factors of 19240 and 19253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19240 and 19253.

How to find the GCF of 19240 and 19253?

We will first find the prime factorization of 19240 and 19253. After we will calculate the factors of 19240 and 19253 and find the biggest common factor number .

Step-1: Prime Factorization of 19240

Prime factors of 19240 are 2, 5, 13, 37. Prime factorization of 19240 in exponential form is:

19240 = 2³ × 5¹ × 13¹ × 37¹

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 19240

List of positive integer factors of 19240 that divides 19240 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 37, 40, 52, 65, 74, 104, 130, 148, 185, 260, 296, 370, 481, 520, 740, 962, 1480, 1924, 2405, 3848, 4810, 9620

Step-4: Factors of 19253

List of positive integer factors of 19253 that divides 19240 without a remainder.

1, 13, 1481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19240 and 19253. The biggest common factor number is the GCF number.
So the greatest common factor 19240 and 19253 is 13.

Also check out the Least Common Multiple of 19240 and 19253