What is the Greatest Common Factor of 95565 and 95585?

Greatest common factor (GCF) of 95565 and 95585 is 5.

GCF(95565,95585) = 5

We will now calculate the prime factors of 95565 and 95585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95565 and 95585.

How to find the GCF of 95565 and 95585?

We will first find the prime factorization of 95565 and 95585. After we will calculate the factors of 95565 and 95585 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 95585

Prime factors of 95585 are 5, 7, 2731. Prime factorization of 95585 in exponential form is:

95585 = 5¹ × 7¹ × 2731¹

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 95585

List of positive integer factors of 95585 that divides 95565 without a remainder.

1, 5, 7, 35, 2731, 13655, 19117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95565 and 95585. The biggest common factor number is the GCF number.
So the greatest common factor 95565 and 95585 is 5.

Also check out the Least Common Multiple of 95565 and 95585