What is the Greatest Common Factor of 63585 and 63595?

Greatest common factor (GCF) of 63585 and 63595 is 5.

GCF(63585,63595) = 5

We will now calculate the prime factors of 63585 and 63595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63585 and 63595.

How to find the GCF of 63585 and 63595?

We will first find the prime factorization of 63585 and 63595. After we will calculate the factors of 63585 and 63595 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 63595

Prime factors of 63595 are 5, 7, 23, 79. Prime factorization of 63595 in exponential form is:

63595 = 5¹ × 7¹ × 23¹ × 79¹

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 63595

List of positive integer factors of 63595 that divides 63585 without a remainder.

1, 5, 7, 23, 35, 79, 115, 161, 395, 553, 805, 1817, 2765, 9085, 12719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63585 and 63595. The biggest common factor number is the GCF number.
So the greatest common factor 63585 and 63595 is 5.

Also check out the Least Common Multiple of 63585 and 63595