What is the Greatest Common Factor of 48294 and 48309?

Greatest common factor (GCF) of 48294 and 48309 is 3.

GCF(48294,48309) = 3

We will now calculate the prime factors of 48294 and 48309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48294 and 48309.

How to find the GCF of 48294 and 48309?

We will first find the prime factorization of 48294 and 48309. After we will calculate the factors of 48294 and 48309 and find the biggest common factor number .

Step-1: Prime Factorization of 48294

Prime factors of 48294 are 2, 3, 2683. Prime factorization of 48294 in exponential form is:

48294 = 2¹ × 3² × 2683¹

Step-2: Prime Factorization of 48309

Prime factors of 48309 are 3, 16103. Prime factorization of 48309 in exponential form is:

48309 = 3¹ × 16103¹

Step-3: Factors of 48294

List of positive integer factors of 48294 that divides 48294 without a remainder.

1, 2, 3, 6, 9, 18, 2683, 5366, 8049, 16098, 24147

Step-4: Factors of 48309

List of positive integer factors of 48309 that divides 48294 without a remainder.

1, 3, 16103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48294 and 48309. The biggest common factor number is the GCF number.
So the greatest common factor 48294 and 48309 is 3.

Also check out the Least Common Multiple of 48294 and 48309