What is the Greatest Common Factor of 63579 and 63585?

Greatest common factor (GCF) of 63579 and 63585 is 3.

GCF(63579,63585) = 3

We will now calculate the prime factors of 63579 and 63585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63579 and 63585.

How to find the GCF of 63579 and 63585?

We will first find the prime factorization of 63579 and 63585. After we will calculate the factors of 63579 and 63585 and find the biggest common factor number .

Step-1: Prime Factorization of 63579

Prime factors of 63579 are 3, 21193. Prime factorization of 63579 in exponential form is:

63579 = 3¹ × 21193¹

Step-2: 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-3: Factors of 63579

List of positive integer factors of 63579 that divides 63579 without a remainder.

1, 3, 21193

Step-4: Factors of 63585

List of positive integer factors of 63585 that divides 63579 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63579 and 63585. The biggest common factor number is the GCF number.
So the greatest common factor 63579 and 63585 is 3.

Also check out the Least Common Multiple of 63579 and 63585