What is the Greatest Common Factor of 60585 and 60597?

Greatest common factor (GCF) of 60585 and 60597 is 3.

GCF(60585,60597) = 3

We will now calculate the prime factors of 60585 and 60597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60585 and 60597.

How to find the GCF of 60585 and 60597?

We will first find the prime factorization of 60585 and 60597. After we will calculate the factors of 60585 and 60597 and find the biggest common factor number .

Step-1: Prime Factorization of 60585

Prime factors of 60585 are 3, 5, 7, 577. Prime factorization of 60585 in exponential form is:

60585 = 3¹ × 5¹ × 7¹ × 577¹

Step-2: Prime Factorization of 60597

Prime factors of 60597 are 3, 6733. Prime factorization of 60597 in exponential form is:

60597 = 3² × 6733¹

Step-3: Factors of 60585

List of positive integer factors of 60585 that divides 60585 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 577, 1731, 2885, 4039, 8655, 12117, 20195

Step-4: Factors of 60597

List of positive integer factors of 60597 that divides 60585 without a remainder.

1, 3, 9, 6733, 20199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60585 and 60597. The biggest common factor number is the GCF number.
So the greatest common factor 60585 and 60597 is 3.

Also check out the Least Common Multiple of 60585 and 60597