What is the Greatest Common Factor of 95325 and 95340?

Greatest common factor (GCF) of 95325 and 95340 is 15.

GCF(95325,95340) = 15

We will now calculate the prime factors of 95325 and 95340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95325 and 95340.

How to find the GCF of 95325 and 95340?

We will first find the prime factorization of 95325 and 95340. After we will calculate the factors of 95325 and 95340 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 95340

Prime factors of 95340 are 2, 3, 5, 7, 227. Prime factorization of 95340 in exponential form is:

95340 = 2² × 3¹ × 5¹ × 7¹ × 227¹

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 95340

List of positive integer factors of 95340 that divides 95325 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 227, 420, 454, 681, 908, 1135, 1362, 1589, 2270, 2724, 3178, 3405, 4540, 4767, 6356, 6810, 7945, 9534, 13620, 15890, 19068, 23835, 31780, 47670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95325 and 95340. The biggest common factor number is the GCF number.
So the greatest common factor 95325 and 95340 is 15.

Also check out the Least Common Multiple of 95325 and 95340