What is the Greatest Common Factor of 95469 and 95475?

Greatest common factor (GCF) of 95469 and 95475 is 3.

GCF(95469,95475) = 3

We will now calculate the prime factors of 95469 and 95475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95469 and 95475.

How to find the GCF of 95469 and 95475?

We will first find the prime factorization of 95469 and 95475. After we will calculate the factors of 95469 and 95475 and find the biggest common factor number .

Step-1: Prime Factorization of 95469

Prime factors of 95469 are 3, 11, 263. Prime factorization of 95469 in exponential form is:

95469 = 3¹ × 11² × 263¹

Step-2: 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-3: Factors of 95469

List of positive integer factors of 95469 that divides 95469 without a remainder.

1, 3, 11, 33, 121, 263, 363, 789, 2893, 8679, 31823

Step-4: Factors of 95475

List of positive integer factors of 95475 that divides 95469 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95469 and 95475. The biggest common factor number is the GCF number.
So the greatest common factor 95469 and 95475 is 3.

Also check out the Least Common Multiple of 95469 and 95475