What is the Greatest Common Factor of 48573 and 48588?

Greatest common factor (GCF) of 48573 and 48588 is 3.

GCF(48573,48588) = 3

We will now calculate the prime factors of 48573 and 48588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48573 and 48588.

How to find the GCF of 48573 and 48588?

We will first find the prime factorization of 48573 and 48588. After we will calculate the factors of 48573 and 48588 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 48588

Prime factors of 48588 are 2, 3, 4049. Prime factorization of 48588 in exponential form is:

48588 = 2² × 3¹ × 4049¹

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 48588

List of positive integer factors of 48588 that divides 48573 without a remainder.

1, 2, 3, 4, 6, 12, 4049, 8098, 12147, 16196, 24294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48573 and 48588. The biggest common factor number is the GCF number.
So the greatest common factor 48573 and 48588 is 3.

Also check out the Least Common Multiple of 48573 and 48588