What is the Greatest Common Factor of 48489 and 48500?

Greatest common factor (GCF) of 48489 and 48500 is 1.

GCF(48489,48500) = 1

We will now calculate the prime factors of 48489 and 48500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48489 and 48500.

How to find the GCF of 48489 and 48500?

We will first find the prime factorization of 48489 and 48500. After we will calculate the factors of 48489 and 48500 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 48500

Prime factors of 48500 are 2, 5, 97. Prime factorization of 48500 in exponential form is:

48500 = 2² × 5³ × 97¹

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 48500

List of positive integer factors of 48500 that divides 48489 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 125, 194, 250, 388, 485, 500, 970, 1940, 2425, 4850, 9700, 12125, 24250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48489 and 48500. The biggest common factor number is the GCF number.
So the greatest common factor 48489 and 48500 is 1.

Also check out the Least Common Multiple of 48489 and 48500