What is the Greatest Common Factor of 95565 and 95574?

Greatest common factor (GCF) of 95565 and 95574 is 3.

GCF(95565,95574) = 3

We will now calculate the prime factors of 95565 and 95574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95565 and 95574.

How to find the GCF of 95565 and 95574?

We will first find the prime factorization of 95565 and 95574. After we will calculate the factors of 95565 and 95574 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 95574

Prime factors of 95574 are 2, 3, 17, 937. Prime factorization of 95574 in exponential form is:

95574 = 2¹ × 3¹ × 17¹ × 937¹

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 95574

List of positive integer factors of 95574 that divides 95565 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 937, 1874, 2811, 5622, 15929, 31858, 47787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95565 and 95574. The biggest common factor number is the GCF number.
So the greatest common factor 95565 and 95574 is 3.

Also check out the Least Common Multiple of 95565 and 95574