What is the Greatest Common Factor of 48573 and 48585?

Greatest common factor (GCF) of 48573 and 48585 is 3.

GCF(48573,48585) = 3

We will now calculate the prime factors of 48573 and 48585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48573 and 48585.

How to find the GCF of 48573 and 48585?

We will first find the prime factorization of 48573 and 48585. After we will calculate the factors of 48573 and 48585 and find the biggest common factor number .

Step-1: Prime Factorization of 48573

Prime factors of 48573 are 3, 7, 257. Prime factorization of 48573 in exponential form is:

48573 = 3³ × 7¹ × 257¹

Step-2: Prime Factorization of 48585

Prime factors of 48585 are 3, 5, 41, 79. Prime factorization of 48585 in exponential form is:

48585 = 3¹ × 5¹ × 41¹ × 79¹

Step-3: Factors of 48573

List of positive integer factors of 48573 that divides 48573 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 257, 771, 1799, 2313, 5397, 6939, 16191

Step-4: Factors of 48585

List of positive integer factors of 48585 that divides 48573 without a remainder.

1, 3, 5, 15, 41, 79, 123, 205, 237, 395, 615, 1185, 3239, 9717, 16195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48573 and 48585. The biggest common factor number is the GCF number.
So the greatest common factor 48573 and 48585 is 3.

Also check out the Least Common Multiple of 48573 and 48585