What is the Greatest Common Factor of 63585 and 63599?

Greatest common factor (GCF) of 63585 and 63599 is 1.

GCF(63585,63599) = 1

We will now calculate the prime factors of 63585 and 63599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63585 and 63599.

How to find the GCF of 63585 and 63599?

We will first find the prime factorization of 63585 and 63599. After we will calculate the factors of 63585 and 63599 and find the biggest common factor number .

Step-1: Prime Factorization of 63585

Prime factors of 63585 are 3, 5, 157. Prime factorization of 63585 in exponential form is:

63585 = 3⁴ × 5¹ × 157¹

Step-2: Prime Factorization of 63599

Prime factors of 63599 are 63599. Prime factorization of 63599 in exponential form is:

63599 = 63599¹

Step-3: Factors of 63585

List of positive integer factors of 63585 that divides 63585 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 157, 405, 471, 785, 1413, 2355, 4239, 7065, 12717, 21195

Step-4: Factors of 63599

List of positive integer factors of 63599 that divides 63585 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63585 and 63599. The biggest common factor number is the GCF number.
So the greatest common factor 63585 and 63599 is 1.

Also check out the Least Common Multiple of 63585 and 63599