What is the Greatest Common Factor of 95135 and 95150?

Greatest common factor (GCF) of 95135 and 95150 is 5.

GCF(95135,95150) = 5

We will now calculate the prime factors of 95135 and 95150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95135 and 95150.

How to find the GCF of 95135 and 95150?

We will first find the prime factorization of 95135 and 95150. After we will calculate the factors of 95135 and 95150 and find the biggest common factor number .

Step-1: Prime Factorization of 95135

Prime factors of 95135 are 5, 53, 359. Prime factorization of 95135 in exponential form is:

95135 = 5¹ × 53¹ × 359¹

Step-2: Prime Factorization of 95150

Prime factors of 95150 are 2, 5, 11, 173. Prime factorization of 95150 in exponential form is:

95150 = 2¹ × 5² × 11¹ × 173¹

Step-3: Factors of 95135

List of positive integer factors of 95135 that divides 95135 without a remainder.

1, 5, 53, 265, 359, 1795, 19027

Step-4: Factors of 95150

List of positive integer factors of 95150 that divides 95135 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 173, 275, 346, 550, 865, 1730, 1903, 3806, 4325, 8650, 9515, 19030, 47575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95135 and 95150. The biggest common factor number is the GCF number.
So the greatest common factor 95135 and 95150 is 5.

Also check out the Least Common Multiple of 95135 and 95150