What is the Greatest Common Factor of 96410 and 96430?

Greatest common factor (GCF) of 96410 and 96430 is 10.

GCF(96410,96430) = 10

We will now calculate the prime factors of 96410 and 96430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96410 and 96430.

How to find the GCF of 96410 and 96430?

We will first find the prime factorization of 96410 and 96430. After we will calculate the factors of 96410 and 96430 and find the biggest common factor number .

Step-1: Prime Factorization of 96410

Prime factors of 96410 are 2, 5, 31, 311. Prime factorization of 96410 in exponential form is:

96410 = 2¹ × 5¹ × 31¹ × 311¹

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 96410

List of positive integer factors of 96410 that divides 96410 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310, 311, 622, 1555, 3110, 9641, 19282, 48205

Step-4: Factors of 96430

List of positive integer factors of 96430 that divides 96410 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96410 and 96430. The biggest common factor number is the GCF number.
So the greatest common factor 96410 and 96430 is 10.

Also check out the Least Common Multiple of 96410 and 96430