What is the Greatest Common Factor of 75795 and 75815?

Greatest common factor (GCF) of 75795 and 75815 is 5.

GCF(75795,75815) = 5

We will now calculate the prime factors of 75795 and 75815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75795 and 75815.

How to find the GCF of 75795 and 75815?

We will first find the prime factorization of 75795 and 75815. After we will calculate the factors of 75795 and 75815 and find the biggest common factor number .

Step-1: Prime Factorization of 75795

Prime factors of 75795 are 3, 5, 31, 163. Prime factorization of 75795 in exponential form is:

75795 = 3¹ × 5¹ × 31¹ × 163¹

Step-2: Prime Factorization of 75815

Prime factors of 75815 are 5, 59, 257. Prime factorization of 75815 in exponential form is:

75815 = 5¹ × 59¹ × 257¹

Step-3: Factors of 75795

List of positive integer factors of 75795 that divides 75795 without a remainder.

1, 3, 5, 15, 31, 93, 155, 163, 465, 489, 815, 2445, 5053, 15159, 25265

Step-4: Factors of 75815

List of positive integer factors of 75815 that divides 75795 without a remainder.

1, 5, 59, 257, 295, 1285, 15163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75795 and 75815. The biggest common factor number is the GCF number.
So the greatest common factor 75795 and 75815 is 5.

Also check out the Least Common Multiple of 75795 and 75815