What is the Greatest Common Factor of 96475 and 96485?

Greatest common factor (GCF) of 96475 and 96485 is 5.

GCF(96475,96485) = 5

We will now calculate the prime factors of 96475 and 96485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96475 and 96485.

How to find the GCF of 96475 and 96485?

We will first find the prime factorization of 96475 and 96485. After we will calculate the factors of 96475 and 96485 and find the biggest common factor number .

Step-1: Prime Factorization of 96475

Prime factors of 96475 are 5, 17, 227. Prime factorization of 96475 in exponential form is:

96475 = 5² × 17¹ × 227¹

Step-2: Prime Factorization of 96485

Prime factors of 96485 are 5, 23, 839. Prime factorization of 96485 in exponential form is:

96485 = 5¹ × 23¹ × 839¹

Step-3: Factors of 96475

List of positive integer factors of 96475 that divides 96475 without a remainder.

1, 5, 17, 25, 85, 227, 425, 1135, 3859, 5675, 19295

Step-4: Factors of 96485

List of positive integer factors of 96485 that divides 96475 without a remainder.

1, 5, 23, 115, 839, 4195, 19297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96475 and 96485. The biggest common factor number is the GCF number.
So the greatest common factor 96475 and 96485 is 5.

Also check out the Least Common Multiple of 96475 and 96485