What is the Greatest Common Factor of 48489 and 48501?

Greatest common factor (GCF) of 48489 and 48501 is 3.

GCF(48489,48501) = 3

We will now calculate the prime factors of 48489 and 48501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48489 and 48501.

How to find the GCF of 48489 and 48501?

We will first find the prime factorization of 48489 and 48501. After we will calculate the factors of 48489 and 48501 and find the biggest common factor number .

Step-1: Prime Factorization of 48489

Prime factors of 48489 are 3, 7, 2309. Prime factorization of 48489 in exponential form is:

48489 = 3¹ × 7¹ × 2309¹

Step-2: Prime Factorization of 48501

Prime factors of 48501 are 3, 17, 317. Prime factorization of 48501 in exponential form is:

48501 = 3² × 17¹ × 317¹

Step-3: Factors of 48489

List of positive integer factors of 48489 that divides 48489 without a remainder.

1, 3, 7, 21, 2309, 6927, 16163

Step-4: Factors of 48501

List of positive integer factors of 48501 that divides 48489 without a remainder.

1, 3, 9, 17, 51, 153, 317, 951, 2853, 5389, 16167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48489 and 48501. The biggest common factor number is the GCF number.
So the greatest common factor 48489 and 48501 is 3.

Also check out the Least Common Multiple of 48489 and 48501