What is the Greatest Common Factor of 96425 and 96430?

Greatest common factor (GCF) of 96425 and 96430 is 5.

GCF(96425,96430) = 5

We will now calculate the prime factors of 96425 and 96430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96425 and 96430.

How to find the GCF of 96425 and 96430?

We will first find the prime factorization of 96425 and 96430. After we will calculate the factors of 96425 and 96430 and find the biggest common factor number .

Step-1: Prime Factorization of 96425

Prime factors of 96425 are 5, 7, 19, 29. Prime factorization of 96425 in exponential form is:

96425 = 5² × 7¹ × 19¹ × 29¹

Step-2: Prime Factorization of 96430

Prime factors of 96430 are 2, 5, 9643. Prime factorization of 96430 in exponential form is:

96430 = 2¹ × 5¹ × 9643¹

Step-3: Factors of 96425

List of positive integer factors of 96425 that divides 96425 without a remainder.

1, 5, 7, 19, 25, 29, 35, 95, 133, 145, 175, 203, 475, 551, 665, 725, 1015, 2755, 3325, 3857, 5075, 13775, 19285

Step-4: Factors of 96430

List of positive integer factors of 96430 that divides 96425 without a remainder.

1, 2, 5, 10, 9643, 19286, 48215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96425 and 96430. The biggest common factor number is the GCF number.
So the greatest common factor 96425 and 96430 is 5.

Also check out the Least Common Multiple of 96425 and 96430