What is the Greatest Common Factor of 95325 and 95334?

Greatest common factor (GCF) of 95325 and 95334 is 3.

GCF(95325,95334) = 3

We will now calculate the prime factors of 95325 and 95334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95325 and 95334.

How to find the GCF of 95325 and 95334?

We will first find the prime factorization of 95325 and 95334. After we will calculate the factors of 95325 and 95334 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 95334

Prime factors of 95334 are 2, 3, 15889. Prime factorization of 95334 in exponential form is:

95334 = 2¹ × 3¹ × 15889¹

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 95334

List of positive integer factors of 95334 that divides 95325 without a remainder.

1, 2, 3, 6, 15889, 31778, 47667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95325 and 95334. The biggest common factor number is the GCF number.
So the greatest common factor 95325 and 95334 is 3.

Also check out the Least Common Multiple of 95325 and 95334