What is the Greatest Common Factor of 96150 and 96163?

Greatest common factor (GCF) of 96150 and 96163 is 1.

GCF(96150,96163) = 1

We will now calculate the prime factors of 96150 and 96163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96150 and 96163.

How to find the GCF of 96150 and 96163?

We will first find the prime factorization of 96150 and 96163. After we will calculate the factors of 96150 and 96163 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96163

Prime factors of 96163 are 23, 37, 113. Prime factorization of 96163 in exponential form is:

96163 = 23¹ × 37¹ × 113¹

Step-3: Factors of 96150

List of positive integer factors of 96150 that divides 96150 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

Step-4: Factors of 96163

List of positive integer factors of 96163 that divides 96150 without a remainder.

1, 23, 37, 113, 851, 2599, 4181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96150 and 96163. The biggest common factor number is the GCF number.
So the greatest common factor 96150 and 96163 is 1.

Also check out the Least Common Multiple of 96150 and 96163