What is the Greatest Common Factor of 63585 and 63594?

Greatest common factor (GCF) of 63585 and 63594 is 9.

GCF(63585,63594) = 9

We will now calculate the prime factors of 63585 and 63594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63585 and 63594.

How to find the GCF of 63585 and 63594?

We will first find the prime factorization of 63585 and 63594. After we will calculate the factors of 63585 and 63594 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 63594

Prime factors of 63594 are 2, 3, 3533. Prime factorization of 63594 in exponential form is:

63594 = 2¹ × 3² × 3533¹

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 63594

List of positive integer factors of 63594 that divides 63585 without a remainder.

1, 2, 3, 6, 9, 18, 3533, 7066, 10599, 21198, 31797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63585 and 63594. The biggest common factor number is the GCF number.
So the greatest common factor 63585 and 63594 is 9.

Also check out the Least Common Multiple of 63585 and 63594