What is the Greatest Common Factor of 96475 and 96481?

Greatest common factor (GCF) of 96475 and 96481 is 1.

GCF(96475,96481) = 1

We will now calculate the prime factors of 96475 and 96481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96475 and 96481.

How to find the GCF of 96475 and 96481?

We will first find the prime factorization of 96475 and 96481. After we will calculate the factors of 96475 and 96481 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 96481

Prime factors of 96481 are 7, 11, 179. Prime factorization of 96481 in exponential form is:

96481 = 7² × 11¹ × 179¹

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 96481

List of positive integer factors of 96481 that divides 96475 without a remainder.

1, 7, 11, 49, 77, 179, 539, 1253, 1969, 8771, 13783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96475 and 96481. The biggest common factor number is the GCF number.
So the greatest common factor 96475 and 96481 is 1.

Also check out the Least Common Multiple of 96475 and 96481