What is the Greatest Common Factor of 96340 and 96350?

Greatest common factor (GCF) of 96340 and 96350 is 10.

GCF(96340,96350) = 10

We will now calculate the prime factors of 96340 and 96350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96340 and 96350.

How to find the GCF of 96340 and 96350?

We will first find the prime factorization of 96340 and 96350. After we will calculate the factors of 96340 and 96350 and find the biggest common factor number .

Step-1: Prime Factorization of 96340

Prime factors of 96340 are 2, 5, 4817. Prime factorization of 96340 in exponential form is:

96340 = 2² × 5¹ × 4817¹

Step-2: Prime Factorization of 96350

Prime factors of 96350 are 2, 5, 41, 47. Prime factorization of 96350 in exponential form is:

96350 = 2¹ × 5² × 41¹ × 47¹

Step-3: Factors of 96340

List of positive integer factors of 96340 that divides 96340 without a remainder.

1, 2, 4, 5, 10, 20, 4817, 9634, 19268, 24085, 48170

Step-4: Factors of 96350

List of positive integer factors of 96350 that divides 96340 without a remainder.

1, 2, 5, 10, 25, 41, 47, 50, 82, 94, 205, 235, 410, 470, 1025, 1175, 1927, 2050, 2350, 3854, 9635, 19270, 48175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96340 and 96350. The biggest common factor number is the GCF number.
So the greatest common factor 96340 and 96350 is 10.

Also check out the Least Common Multiple of 96340 and 96350