What is the Greatest Common Factor of 95325 and 95335?

Greatest common factor (GCF) of 95325 and 95335 is 5.

GCF(95325,95335) = 5

We will now calculate the prime factors of 95325 and 95335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95325 and 95335.

How to find the GCF of 95325 and 95335?

We will first find the prime factorization of 95325 and 95335. After we will calculate the factors of 95325 and 95335 and find the biggest common factor number .

Step-1: Prime Factorization of 95325

Prime factors of 95325 are 3, 5, 31, 41. Prime factorization of 95325 in exponential form is:

95325 = 3¹ × 5² × 31¹ × 41¹

Step-2: Prime Factorization of 95335

Prime factors of 95335 are 5, 23, 829. Prime factorization of 95335 in exponential form is:

95335 = 5¹ × 23¹ × 829¹

Step-3: Factors of 95325

List of positive integer factors of 95325 that divides 95325 without a remainder.

1, 3, 5, 15, 25, 31, 41, 75, 93, 123, 155, 205, 465, 615, 775, 1025, 1271, 2325, 3075, 3813, 6355, 19065, 31775

Step-4: Factors of 95335

List of positive integer factors of 95335 that divides 95325 without a remainder.

1, 5, 23, 115, 829, 4145, 19067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95325 and 95335. The biggest common factor number is the GCF number.
So the greatest common factor 95325 and 95335 is 5.

Also check out the Least Common Multiple of 95325 and 95335