What is the Greatest Common Factor of 60585 and 60600?

Greatest common factor (GCF) of 60585 and 60600 is 15.

GCF(60585,60600) = 15

We will now calculate the prime factors of 60585 and 60600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60585 and 60600.

How to find the GCF of 60585 and 60600?

We will first find the prime factorization of 60585 and 60600. After we will calculate the factors of 60585 and 60600 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 60600

Prime factors of 60600 are 2, 3, 5, 101. Prime factorization of 60600 in exponential form is:

60600 = 2³ × 3¹ × 5² × 101¹

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 60600

List of positive integer factors of 60600 that divides 60585 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 101, 120, 150, 200, 202, 300, 303, 404, 505, 600, 606, 808, 1010, 1212, 1515, 2020, 2424, 2525, 3030, 4040, 5050, 6060, 7575, 10100, 12120, 15150, 20200, 30300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60585 and 60600. The biggest common factor number is the GCF number.
So the greatest common factor 60585 and 60600 is 15.

Also check out the Least Common Multiple of 60585 and 60600