What is the Greatest Common Factor of 60585 and 60599?

Greatest common factor (GCF) of 60585 and 60599 is 7.

GCF(60585,60599) = 7

We will now calculate the prime factors of 60585 and 60599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60585 and 60599.

How to find the GCF of 60585 and 60599?

We will first find the prime factorization of 60585 and 60599. After we will calculate the factors of 60585 and 60599 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 60599

Prime factors of 60599 are 7, 11, 787. Prime factorization of 60599 in exponential form is:

60599 = 7¹ × 11¹ × 787¹

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 60599

List of positive integer factors of 60599 that divides 60585 without a remainder.

1, 7, 11, 77, 787, 5509, 8657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60585 and 60599. The biggest common factor number is the GCF number.
So the greatest common factor 60585 and 60599 is 7.

Also check out the Least Common Multiple of 60585 and 60599