What is the Greatest Common Factor of 19095 and 19110?

Greatest common factor (GCF) of 19095 and 19110 is 15.

GCF(19095,19110) = 15

We will now calculate the prime factors of 19095 and 19110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19095 and 19110.

How to find the GCF of 19095 and 19110?

We will first find the prime factorization of 19095 and 19110. After we will calculate the factors of 19095 and 19110 and find the biggest common factor number .

Step-1: Prime Factorization of 19095

Prime factors of 19095 are 3, 5, 19, 67. Prime factorization of 19095 in exponential form is:

19095 = 3¹ × 5¹ × 19¹ × 67¹

Step-2: Prime Factorization of 19110

Prime factors of 19110 are 2, 3, 5, 7, 13. Prime factorization of 19110 in exponential form is:

19110 = 2¹ × 3¹ × 5¹ × 7² × 13¹

Step-3: Factors of 19095

List of positive integer factors of 19095 that divides 19095 without a remainder.

1, 3, 5, 15, 19, 57, 67, 95, 201, 285, 335, 1005, 1273, 3819, 6365

Step-4: Factors of 19110

List of positive integer factors of 19110 that divides 19095 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 49, 65, 70, 78, 91, 98, 105, 130, 147, 182, 195, 210, 245, 273, 294, 390, 455, 490, 546, 637, 735, 910, 1274, 1365, 1470, 1911, 2730, 3185, 3822, 6370, 9555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19095 and 19110. The biggest common factor number is the GCF number.
So the greatest common factor 19095 and 19110 is 15.

Also check out the Least Common Multiple of 19095 and 19110