What is the Greatest Common Factor of 96090 and 96095?

Greatest common factor (GCF) of 96090 and 96095 is 5.

GCF(96090,96095) = 5

We will now calculate the prime factors of 96090 and 96095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96090 and 96095.

How to find the GCF of 96090 and 96095?

We will first find the prime factorization of 96090 and 96095. After we will calculate the factors of 96090 and 96095 and find the biggest common factor number .

Step-1: Prime Factorization of 96090

Prime factors of 96090 are 2, 3, 5, 3203. Prime factorization of 96090 in exponential form is:

96090 = 2¹ × 3¹ × 5¹ × 3203¹

Step-2: Prime Factorization of 96095

Prime factors of 96095 are 5, 19219. Prime factorization of 96095 in exponential form is:

96095 = 5¹ × 19219¹

Step-3: Factors of 96090

List of positive integer factors of 96090 that divides 96090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3203, 6406, 9609, 16015, 19218, 32030, 48045

Step-4: Factors of 96095

List of positive integer factors of 96095 that divides 96090 without a remainder.

1, 5, 19219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96090 and 96095. The biggest common factor number is the GCF number.
So the greatest common factor 96090 and 96095 is 5.

Also check out the Least Common Multiple of 96090 and 96095