What is the Greatest Common Factor of 19350 and 19370?

Greatest common factor (GCF) of 19350 and 19370 is 10.

GCF(19350,19370) = 10

We will now calculate the prime factors of 19350 and 19370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19350 and 19370.

How to find the GCF of 19350 and 19370?

We will first find the prime factorization of 19350 and 19370. After we will calculate the factors of 19350 and 19370 and find the biggest common factor number .

Step-1: Prime Factorization of 19350

Prime factors of 19350 are 2, 3, 5, 43. Prime factorization of 19350 in exponential form is:

19350 = 2¹ × 3² × 5² × 43¹

Step-2: Prime Factorization of 19370

Prime factors of 19370 are 2, 5, 13, 149. Prime factorization of 19370 in exponential form is:

19370 = 2¹ × 5¹ × 13¹ × 149¹

Step-3: Factors of 19350

List of positive integer factors of 19350 that divides 19350 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 43, 45, 50, 75, 86, 90, 129, 150, 215, 225, 258, 387, 430, 450, 645, 774, 1075, 1290, 1935, 2150, 3225, 3870, 6450, 9675

Step-4: Factors of 19370

List of positive integer factors of 19370 that divides 19350 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 149, 298, 745, 1490, 1937, 3874, 9685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19350 and 19370. The biggest common factor number is the GCF number.
So the greatest common factor 19350 and 19370 is 10.

Also check out the Least Common Multiple of 19350 and 19370