What is the Greatest Common Factor of 48339 and 48345?

Greatest common factor (GCF) of 48339 and 48345 is 3.

GCF(48339,48345) = 3

We will now calculate the prime factors of 48339 and 48345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48339 and 48345.

How to find the GCF of 48339 and 48345?

We will first find the prime factorization of 48339 and 48345. After we will calculate the factors of 48339 and 48345 and find the biggest common factor number .

Step-1: Prime Factorization of 48339

Prime factors of 48339 are 3, 41, 131. Prime factorization of 48339 in exponential form is:

48339 = 3² × 41¹ × 131¹

Step-2: Prime Factorization of 48345

Prime factors of 48345 are 3, 5, 11, 293. Prime factorization of 48345 in exponential form is:

48345 = 3¹ × 5¹ × 11¹ × 293¹

Step-3: Factors of 48339

List of positive integer factors of 48339 that divides 48339 without a remainder.

1, 3, 9, 41, 123, 131, 369, 393, 1179, 5371, 16113

Step-4: Factors of 48345

List of positive integer factors of 48345 that divides 48339 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 293, 879, 1465, 3223, 4395, 9669, 16115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48339 and 48345. The biggest common factor number is the GCF number.
So the greatest common factor 48339 and 48345 is 3.

Also check out the Least Common Multiple of 48339 and 48345