What is the Greatest Common Factor of 48249 and 48266?

Greatest common factor (GCF) of 48249 and 48266 is 1.

GCF(48249,48266) = 1

We will now calculate the prime factors of 48249 and 48266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48249 and 48266.

How to find the GCF of 48249 and 48266?

We will first find the prime factorization of 48249 and 48266. After we will calculate the factors of 48249 and 48266 and find the biggest common factor number .

Step-1: Prime Factorization of 48249

Prime factors of 48249 are 3, 1787. Prime factorization of 48249 in exponential form is:

48249 = 3³ × 1787¹

Step-2: Prime Factorization of 48266

Prime factors of 48266 are 2, 24133. Prime factorization of 48266 in exponential form is:

48266 = 2¹ × 24133¹

Step-3: Factors of 48249

List of positive integer factors of 48249 that divides 48249 without a remainder.

1, 3, 9, 27, 1787, 5361, 16083

Step-4: Factors of 48266

List of positive integer factors of 48266 that divides 48249 without a remainder.

1, 2, 24133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48249 and 48266. The biggest common factor number is the GCF number.
So the greatest common factor 48249 and 48266 is 1.

Also check out the Least Common Multiple of 48249 and 48266