What is the Greatest Common Factor of 63585 and 63590?

Greatest common factor (GCF) of 63585 and 63590 is 5.

GCF(63585,63590) = 5

We will now calculate the prime factors of 63585 and 63590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63585 and 63590.

How to find the GCF of 63585 and 63590?

We will first find the prime factorization of 63585 and 63590. After we will calculate the factors of 63585 and 63590 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 63590

Prime factors of 63590 are 2, 5, 6359. Prime factorization of 63590 in exponential form is:

63590 = 2¹ × 5¹ × 6359¹

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 63590

List of positive integer factors of 63590 that divides 63585 without a remainder.

1, 2, 5, 10, 6359, 12718, 31795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63585 and 63590. The biggest common factor number is the GCF number.
So the greatest common factor 63585 and 63590 is 5.

Also check out the Least Common Multiple of 63585 and 63590