What is the Greatest Common Factor of 96145 and 96150?

Greatest common factor (GCF) of 96145 and 96150 is 5.

GCF(96145,96150) = 5

We will now calculate the prime factors of 96145 and 96150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96145 and 96150.

How to find the GCF of 96145 and 96150?

We will first find the prime factorization of 96145 and 96150. After we will calculate the factors of 96145 and 96150 and find the biggest common factor number .

Step-1: Prime Factorization of 96145

Prime factors of 96145 are 5, 7, 41, 67. Prime factorization of 96145 in exponential form is:

96145 = 5¹ × 7¹ × 41¹ × 67¹

Step-2: Prime Factorization of 96150

Prime factors of 96150 are 2, 3, 5, 641. Prime factorization of 96150 in exponential form is:

96150 = 2¹ × 3¹ × 5² × 641¹

Step-3: Factors of 96145

List of positive integer factors of 96145 that divides 96145 without a remainder.

1, 5, 7, 35, 41, 67, 205, 287, 335, 469, 1435, 2345, 2747, 13735, 19229

Step-4: Factors of 96150

List of positive integer factors of 96150 that divides 96145 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 641, 1282, 1923, 3205, 3846, 6410, 9615, 16025, 19230, 32050, 48075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96145 and 96150. The biggest common factor number is the GCF number.
So the greatest common factor 96145 and 96150 is 5.

Also check out the Least Common Multiple of 96145 and 96150