What is the Greatest Common Factor of 95905 and 95925?

Greatest common factor (GCF) of 95905 and 95925 is 5.

GCF(95905,95925) = 5

We will now calculate the prime factors of 95905 and 95925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95905 and 95925.

How to find the GCF of 95905 and 95925?

We will first find the prime factorization of 95905 and 95925. After we will calculate the factors of 95905 and 95925 and find the biggest common factor number .

Step-1: Prime Factorization of 95905

Prime factors of 95905 are 5, 19181. Prime factorization of 95905 in exponential form is:

95905 = 5¹ × 19181¹

Step-2: 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-3: Factors of 95905

List of positive integer factors of 95905 that divides 95905 without a remainder.

1, 5, 19181

Step-4: Factors of 95925

List of positive integer factors of 95925 that divides 95905 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95905 and 95925. The biggest common factor number is the GCF number.
So the greatest common factor 95905 and 95925 is 5.

Also check out the Least Common Multiple of 95905 and 95925