What is the Greatest Common Factor of 190 and 195?

Greatest common factor (GCF) of 190 and 195 is 5.

GCF(190,195) = 5

We will now calculate the prime factors of 190 and 195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 190 and 195.

How to find the GCF of 190 and 195?

We will first find the prime factorization of 190 and 195. After we will calculate the factors of 190 and 195 and find the biggest common factor number .

Step-1: Prime Factorization of 190

Prime factors of 190 are 2, 5, 19. Prime factorization of 190 in exponential form is:

190 = 2¹ × 5¹ × 19¹

Step-2: Prime Factorization of 195

Prime factors of 195 are 3, 5, 13. Prime factorization of 195 in exponential form is:

195 = 3¹ × 5¹ × 13¹

Step-3: Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95

Step-4: Factors of 195

List of positive integer factors of 195 that divides 190 without a remainder.

1, 3, 5, 13, 15, 39, 65

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 190 and 195. The biggest common factor number is the GCF number.
So the greatest common factor 190 and 195 is 5.

Also check out the Least Common Multiple of 190 and 195