What is the Greatest Common Factor of 95565 and 95571?

Greatest common factor (GCF) of 95565 and 95571 is 3.

GCF(95565,95571) = 3

We will now calculate the prime factors of 95565 and 95571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95565 and 95571.

How to find the GCF of 95565 and 95571?

We will first find the prime factorization of 95565 and 95571. After we will calculate the factors of 95565 and 95571 and find the biggest common factor number .

Step-1: Prime Factorization of 95565

Prime factors of 95565 are 3, 5, 23, 277. Prime factorization of 95565 in exponential form is:

95565 = 3¹ × 5¹ × 23¹ × 277¹

Step-2: Prime Factorization of 95571

Prime factors of 95571 are 3, 7, 37, 41. Prime factorization of 95571 in exponential form is:

95571 = 3² × 7¹ × 37¹ × 41¹

Step-3: Factors of 95565

List of positive integer factors of 95565 that divides 95565 without a remainder.

1, 3, 5, 15, 23, 69, 115, 277, 345, 831, 1385, 4155, 6371, 19113, 31855

Step-4: Factors of 95571

List of positive integer factors of 95571 that divides 95565 without a remainder.

1, 3, 7, 9, 21, 37, 41, 63, 111, 123, 259, 287, 333, 369, 777, 861, 1517, 2331, 2583, 4551, 10619, 13653, 31857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95565 and 95571. The biggest common factor number is the GCF number.
So the greatest common factor 95565 and 95571 is 3.

Also check out the Least Common Multiple of 95565 and 95571