What is the Greatest Common Factor of 75585 and 75597?

Greatest common factor (GCF) of 75585 and 75597 is 3.

GCF(75585,75597) = 3

We will now calculate the prime factors of 75585 and 75597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75585 and 75597.

How to find the GCF of 75585 and 75597?

We will first find the prime factorization of 75585 and 75597. After we will calculate the factors of 75585 and 75597 and find the biggest common factor number .

Step-1: Prime Factorization of 75585

Prime factors of 75585 are 3, 5, 5039. Prime factorization of 75585 in exponential form is:

75585 = 3¹ × 5¹ × 5039¹

Step-2: Prime Factorization of 75597

Prime factors of 75597 are 3, 113, 223. Prime factorization of 75597 in exponential form is:

75597 = 3¹ × 113¹ × 223¹

Step-3: Factors of 75585

List of positive integer factors of 75585 that divides 75585 without a remainder.

1, 3, 5, 15, 5039, 15117, 25195

Step-4: Factors of 75597

List of positive integer factors of 75597 that divides 75585 without a remainder.

1, 3, 113, 223, 339, 669, 25199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75585 and 75597. The biggest common factor number is the GCF number.
So the greatest common factor 75585 and 75597 is 3.

Also check out the Least Common Multiple of 75585 and 75597