What is the Greatest Common Factor of 96150 and 96170?

Greatest common factor (GCF) of 96150 and 96170 is 10.

GCF(96150,96170) = 10

We will now calculate the prime factors of 96150 and 96170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96150 and 96170.

How to find the GCF of 96150 and 96170?

We will first find the prime factorization of 96150 and 96170. After we will calculate the factors of 96150 and 96170 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 96170

Prime factors of 96170 are 2, 5, 59, 163. Prime factorization of 96170 in exponential form is:

96170 = 2¹ × 5¹ × 59¹ × 163¹

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 96170

List of positive integer factors of 96170 that divides 96150 without a remainder.

1, 2, 5, 10, 59, 118, 163, 295, 326, 590, 815, 1630, 9617, 19234, 48085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96150 and 96170. The biggest common factor number is the GCF number.
So the greatest common factor 96150 and 96170 is 10.

Also check out the Least Common Multiple of 96150 and 96170