What is the Greatest Common Factor of 96925 and 96930?

Greatest common factor (GCF) of 96925 and 96930 is 5.

GCF(96925,96930) = 5

We will now calculate the prime factors of 96925 and 96930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96925 and 96930.

How to find the GCF of 96925 and 96930?

We will first find the prime factorization of 96925 and 96930. After we will calculate the factors of 96925 and 96930 and find the biggest common factor number .

Step-1: Prime Factorization of 96925

Prime factors of 96925 are 5, 3877. Prime factorization of 96925 in exponential form is:

96925 = 5² × 3877¹

Step-2: Prime Factorization of 96930

Prime factors of 96930 are 2, 3, 5, 359. Prime factorization of 96930 in exponential form is:

96930 = 2¹ × 3³ × 5¹ × 359¹

Step-3: Factors of 96925

List of positive integer factors of 96925 that divides 96925 without a remainder.

1, 5, 25, 3877, 19385

Step-4: Factors of 96930

List of positive integer factors of 96930 that divides 96925 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 359, 718, 1077, 1795, 2154, 3231, 3590, 5385, 6462, 9693, 10770, 16155, 19386, 32310, 48465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96925 and 96930. The biggest common factor number is the GCF number.
So the greatest common factor 96925 and 96930 is 5.

Also check out the Least Common Multiple of 96925 and 96930