What is the Greatest Common Factor of 48591 and 48597?

Greatest common factor (GCF) of 48591 and 48597 is 3.

GCF(48591,48597) = 3

We will now calculate the prime factors of 48591 and 48597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48591 and 48597.

How to find the GCF of 48591 and 48597?

We will first find the prime factorization of 48591 and 48597. After we will calculate the factors of 48591 and 48597 and find the biggest common factor number .

Step-1: Prime Factorization of 48591

Prime factors of 48591 are 3, 5399. Prime factorization of 48591 in exponential form is:

48591 = 3² × 5399¹

Step-2: Prime Factorization of 48597

Prime factors of 48597 are 3, 97, 167. Prime factorization of 48597 in exponential form is:

48597 = 3¹ × 97¹ × 167¹

Step-3: Factors of 48591

List of positive integer factors of 48591 that divides 48591 without a remainder.

1, 3, 9, 5399, 16197

Step-4: Factors of 48597

List of positive integer factors of 48597 that divides 48591 without a remainder.

1, 3, 97, 167, 291, 501, 16199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48591 and 48597. The biggest common factor number is the GCF number.
So the greatest common factor 48591 and 48597 is 3.

Also check out the Least Common Multiple of 48591 and 48597