What is the Greatest Common Factor of 19240 and 19252?

Greatest common factor (GCF) of 19240 and 19252 is 4.

GCF(19240,19252) = 4

We will now calculate the prime factors of 19240 and 19252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19240 and 19252.

How to find the GCF of 19240 and 19252?

We will first find the prime factorization of 19240 and 19252. After we will calculate the factors of 19240 and 19252 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 19252

Prime factors of 19252 are 2, 4813. Prime factorization of 19252 in exponential form is:

19252 = 2² × 4813¹

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 19252

List of positive integer factors of 19252 that divides 19240 without a remainder.

1, 2, 4, 4813, 9626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19240 and 19252. The biggest common factor number is the GCF number.
So the greatest common factor 19240 and 19252 is 4.

Also check out the Least Common Multiple of 19240 and 19252