What is the Greatest Common Factor of 19150 and 19170?

Greatest common factor (GCF) of 19150 and 19170 is 10.

GCF(19150,19170) = 10

We will now calculate the prime factors of 19150 and 19170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19150 and 19170.

How to find the GCF of 19150 and 19170?

We will first find the prime factorization of 19150 and 19170. After we will calculate the factors of 19150 and 19170 and find the biggest common factor number .

Step-1: Prime Factorization of 19150

Prime factors of 19150 are 2, 5, 383. Prime factorization of 19150 in exponential form is:

19150 = 2¹ × 5² × 383¹

Step-2: Prime Factorization of 19170

Prime factors of 19170 are 2, 3, 5, 71. Prime factorization of 19170 in exponential form is:

19170 = 2¹ × 3³ × 5¹ × 71¹

Step-3: Factors of 19150

List of positive integer factors of 19150 that divides 19150 without a remainder.

1, 2, 5, 10, 25, 50, 383, 766, 1915, 3830, 9575

Step-4: Factors of 19170

List of positive integer factors of 19170 that divides 19150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 71, 90, 135, 142, 213, 270, 355, 426, 639, 710, 1065, 1278, 1917, 2130, 3195, 3834, 6390, 9585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19150 and 19170. The biggest common factor number is the GCF number.
So the greatest common factor 19150 and 19170 is 10.

Also check out the Least Common Multiple of 19150 and 19170