What is the Greatest Common Factor of 96085 and 96090?

Greatest common factor (GCF) of 96085 and 96090 is 5.

GCF(96085,96090) = 5

We will now calculate the prime factors of 96085 and 96090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96085 and 96090.

How to find the GCF of 96085 and 96090?

We will first find the prime factorization of 96085 and 96090. After we will calculate the factors of 96085 and 96090 and find the biggest common factor number .

Step-1: Prime Factorization of 96085

Prime factors of 96085 are 5, 11, 1747. Prime factorization of 96085 in exponential form is:

96085 = 5¹ × 11¹ × 1747¹

Step-2: 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-3: Factors of 96085

List of positive integer factors of 96085 that divides 96085 without a remainder.

1, 5, 11, 55, 1747, 8735, 19217

Step-4: Factors of 96090

List of positive integer factors of 96090 that divides 96085 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96085 and 96090. The biggest common factor number is the GCF number.
So the greatest common factor 96085 and 96090 is 5.

Also check out the Least Common Multiple of 96085 and 96090