What is the Greatest Common Factor of 96105 and 96125?

Greatest common factor (GCF) of 96105 and 96125 is 5.

GCF(96105,96125) = 5

We will now calculate the prime factors of 96105 and 96125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96105 and 96125.

How to find the GCF of 96105 and 96125?

We will first find the prime factorization of 96105 and 96125. After we will calculate the factors of 96105 and 96125 and find the biggest common factor number .

Step-1: Prime Factorization of 96105

Prime factors of 96105 are 3, 5, 43, 149. Prime factorization of 96105 in exponential form is:

96105 = 3¹ × 5¹ × 43¹ × 149¹

Step-2: Prime Factorization of 96125

Prime factors of 96125 are 5, 769. Prime factorization of 96125 in exponential form is:

96125 = 5³ × 769¹

Step-3: Factors of 96105

List of positive integer factors of 96105 that divides 96105 without a remainder.

1, 3, 5, 15, 43, 129, 149, 215, 447, 645, 745, 2235, 6407, 19221, 32035

Step-4: Factors of 96125

List of positive integer factors of 96125 that divides 96105 without a remainder.

1, 5, 25, 125, 769, 3845, 19225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96105 and 96125. The biggest common factor number is the GCF number.
So the greatest common factor 96105 and 96125 is 5.

Also check out the Least Common Multiple of 96105 and 96125