What is the Greatest Common Factor of 95925 and 95945?

Greatest common factor (GCF) of 95925 and 95945 is 5.

GCF(95925,95945) = 5

We will now calculate the prime factors of 95925 and 95945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95925 and 95945.

How to find the GCF of 95925 and 95945?

We will first find the prime factorization of 95925 and 95945. After we will calculate the factors of 95925 and 95945 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 95945

Prime factors of 95945 are 5, 31, 619. Prime factorization of 95945 in exponential form is:

95945 = 5¹ × 31¹ × 619¹

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 95945

List of positive integer factors of 95945 that divides 95925 without a remainder.

1, 5, 31, 155, 619, 3095, 19189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95925 and 95945. The biggest common factor number is the GCF number.
So the greatest common factor 95925 and 95945 is 5.

Also check out the Least Common Multiple of 95925 and 95945