What is the Greatest Common Factor of 96485 and 96490?

Greatest common factor (GCF) of 96485 and 96490 is 5.

GCF(96485,96490) = 5

We will now calculate the prime factors of 96485 and 96490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96485 and 96490.

How to find the GCF of 96485 and 96490?

We will first find the prime factorization of 96485 and 96490. After we will calculate the factors of 96485 and 96490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96490

Prime factors of 96490 are 2, 5, 9649. Prime factorization of 96490 in exponential form is:

96490 = 2¹ × 5¹ × 9649¹

Step-3: Factors of 96485

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

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

Step-4: Factors of 96490

List of positive integer factors of 96490 that divides 96485 without a remainder.

1, 2, 5, 10, 9649, 19298, 48245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96485 and 96490. The biggest common factor number is the GCF number.
So the greatest common factor 96485 and 96490 is 5.

Also check out the Least Common Multiple of 96485 and 96490