What is the Greatest Common Factor of 95925 and 95935?

Greatest common factor (GCF) of 95925 and 95935 is 5.

GCF(95925,95935) = 5

We will now calculate the prime factors of 95925 and 95935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95925 and 95935.

How to find the GCF of 95925 and 95935?

We will first find the prime factorization of 95925 and 95935. After we will calculate the factors of 95925 and 95935 and find the biggest common factor number .

Step-1: Prime Factorization of 95925

Prime factors of 95925 are 3, 5, 1279. Prime factorization of 95925 in exponential form is:

95925 = 3¹ × 5² × 1279¹

Step-2: Prime Factorization of 95935

Prime factors of 95935 are 5, 7, 2741. Prime factorization of 95935 in exponential form is:

95935 = 5¹ × 7¹ × 2741¹

Step-3: Factors of 95925

List of positive integer factors of 95925 that divides 95925 without a remainder.

1, 3, 5, 15, 25, 75, 1279, 3837, 6395, 19185, 31975

Step-4: Factors of 95935

List of positive integer factors of 95935 that divides 95925 without a remainder.

1, 5, 7, 35, 2741, 13705, 19187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95925 and 95935. The biggest common factor number is the GCF number.
So the greatest common factor 95925 and 95935 is 5.

Also check out the Least Common Multiple of 95925 and 95935