What is the Greatest Common Factor of 19230 and 19240?

Greatest common factor (GCF) of 19230 and 19240 is 10.

GCF(19230,19240) = 10

We will now calculate the prime factors of 19230 and 19240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19230 and 19240.

How to find the GCF of 19230 and 19240?

We will first find the prime factorization of 19230 and 19240. After we will calculate the factors of 19230 and 19240 and find the biggest common factor number .

Step-1: Prime Factorization of 19230

Prime factors of 19230 are 2, 3, 5, 641. Prime factorization of 19230 in exponential form is:

19230 = 2¹ × 3¹ × 5¹ × 641¹

Step-2: 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-3: Factors of 19230

List of positive integer factors of 19230 that divides 19230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 641, 1282, 1923, 3205, 3846, 6410, 9615

Step-4: Factors of 19240

List of positive integer factors of 19240 that divides 19230 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19230 and 19240. The biggest common factor number is the GCF number.
So the greatest common factor 19230 and 19240 is 10.

Also check out the Least Common Multiple of 19230 and 19240