What is the Greatest Common Factor of 190 and 196?

Greatest common factor (GCF) of 190 and 196 is 2.

GCF(190,196) = 2

We will now calculate the prime factors of 190 and 196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 190 and 196.

How to find the GCF of 190 and 196?

We will first find the prime factorization of 190 and 196. After we will calculate the factors of 190 and 196 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 196

Prime factors of 196 are 2, 7. Prime factorization of 196 in exponential form is:

196 = 2² × 7²

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 196

List of positive integer factors of 196 that divides 190 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 190 and 196. The biggest common factor number is the GCF number.
So the greatest common factor 190 and 196 is 2.

Also check out the Least Common Multiple of 190 and 196