What is the Greatest Common Factor of 95475 and 95493?

Greatest common factor (GCF) of 95475 and 95493 is 3.

GCF(95475,95493) = 3

We will now calculate the prime factors of 95475 and 95493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95475 and 95493.

How to find the GCF of 95475 and 95493?

We will first find the prime factorization of 95475 and 95493. After we will calculate the factors of 95475 and 95493 and find the biggest common factor number .

Step-1: Prime Factorization of 95475

Prime factors of 95475 are 3, 5, 19, 67. Prime factorization of 95475 in exponential form is:

95475 = 3¹ × 5² × 19¹ × 67¹

Step-2: Prime Factorization of 95493

Prime factors of 95493 are 3, 139, 229. Prime factorization of 95493 in exponential form is:

95493 = 3¹ × 139¹ × 229¹

Step-3: Factors of 95475

List of positive integer factors of 95475 that divides 95475 without a remainder.

1, 3, 5, 15, 19, 25, 57, 67, 75, 95, 201, 285, 335, 475, 1005, 1273, 1425, 1675, 3819, 5025, 6365, 19095, 31825

Step-4: Factors of 95493

List of positive integer factors of 95493 that divides 95475 without a remainder.

1, 3, 139, 229, 417, 687, 31831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95475 and 95493. The biggest common factor number is the GCF number.
So the greatest common factor 95475 and 95493 is 3.

Also check out the Least Common Multiple of 95475 and 95493