What is the Greatest Common Factor of 95190 and 95209?

Greatest common factor (GCF) of 95190 and 95209 is 19.

GCF(95190,95209) = 19

We will now calculate the prime factors of 95190 and 95209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95190 and 95209.

How to find the GCF of 95190 and 95209?

We will first find the prime factorization of 95190 and 95209. After we will calculate the factors of 95190 and 95209 and find the biggest common factor number .

Step-1: Prime Factorization of 95190

Prime factors of 95190 are 2, 3, 5, 19, 167. Prime factorization of 95190 in exponential form is:

95190 = 2¹ × 3¹ × 5¹ × 19¹ × 167¹

Step-2: Prime Factorization of 95209

Prime factors of 95209 are 19, 5011. Prime factorization of 95209 in exponential form is:

95209 = 19¹ × 5011¹

Step-3: Factors of 95190

List of positive integer factors of 95190 that divides 95190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 167, 190, 285, 334, 501, 570, 835, 1002, 1670, 2505, 3173, 5010, 6346, 9519, 15865, 19038, 31730, 47595

Step-4: Factors of 95209

List of positive integer factors of 95209 that divides 95190 without a remainder.

1, 19, 5011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95190 and 95209. The biggest common factor number is the GCF number.
So the greatest common factor 95190 and 95209 is 19.

Also check out the Least Common Multiple of 95190 and 95209