What is the Greatest Common Factor of 60576 and 60585?

Greatest common factor (GCF) of 60576 and 60585 is 3.

GCF(60576,60585) = 3

We will now calculate the prime factors of 60576 and 60585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60576 and 60585.

How to find the GCF of 60576 and 60585?

We will first find the prime factorization of 60576 and 60585. After we will calculate the factors of 60576 and 60585 and find the biggest common factor number .

Step-1: Prime Factorization of 60576

Prime factors of 60576 are 2, 3, 631. Prime factorization of 60576 in exponential form is:

60576 = 2⁵ × 3¹ × 631¹

Step-2: 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-3: Factors of 60576

List of positive integer factors of 60576 that divides 60576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 631, 1262, 1893, 2524, 3786, 5048, 7572, 10096, 15144, 20192, 30288

Step-4: Factors of 60585

List of positive integer factors of 60585 that divides 60576 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60576 and 60585. The biggest common factor number is the GCF number.
So the greatest common factor 60576 and 60585 is 3.

Also check out the Least Common Multiple of 60576 and 60585