What is the Greatest Common Factor of 54339 and 54348?

Greatest common factor (GCF) of 54339 and 54348 is 3.

GCF(54339,54348) = 3

We will now calculate the prime factors of 54339 and 54348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54339 and 54348.

How to find the GCF of 54339 and 54348?

We will first find the prime factorization of 54339 and 54348. After we will calculate the factors of 54339 and 54348 and find the biggest common factor number .

Step-1: Prime Factorization of 54339

Prime factors of 54339 are 3, 59, 307. Prime factorization of 54339 in exponential form is:

54339 = 3¹ × 59¹ × 307¹

Step-2: Prime Factorization of 54348

Prime factors of 54348 are 2, 3, 7, 647. Prime factorization of 54348 in exponential form is:

54348 = 2² × 3¹ × 7¹ × 647¹

Step-3: Factors of 54339

List of positive integer factors of 54339 that divides 54339 without a remainder.

1, 3, 59, 177, 307, 921, 18113

Step-4: Factors of 54348

List of positive integer factors of 54348 that divides 54339 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 647, 1294, 1941, 2588, 3882, 4529, 7764, 9058, 13587, 18116, 27174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54339 and 54348. The biggest common factor number is the GCF number.
So the greatest common factor 54339 and 54348 is 3.

Also check out the Least Common Multiple of 54339 and 54348